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Finding the Fourth Proportional to 596.76, 823.53 and 331.20

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Solution

The fourth proportional to 596.76, 823.53 and 331.20 is: 457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.76 : 823.53 = 331.20 : x
  2. Step 2: Convert to fraction form
    596.76/823.53 = 331.20/x
  3. Step 3: Cross multiply
    596.76x = 823.53 × 331.20
  4. Step 4: Simplify right side
    596.76x = 272,753.14
  5. Step 5: Solve for x
    x = 272,753.14/596.76
  6. Step 6: Final answer
    x = 457.06

Related Problems

Find fourth proportional to 298.38, 411.77 and 165.60
Half scale
Find fourth proportional to 1,193.52, 1,647.06 and 662.40
Double scale
Find fourth proportional to 597.76, 824.91 and 332.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.