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Finding the Fourth Proportional to 596.58, 823.26 and 331.02

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Solution

The fourth proportional to 596.58, 823.26 and 331.02 is: 456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.58 : 823.26 = 331.02 : x
  2. Step 2: Convert to fraction form
    596.58/823.26 = 331.02/x
  3. Step 3: Cross multiply
    596.58x = 823.26 × 331.02
  4. Step 4: Simplify right side
    596.58x = 272,515.53
  5. Step 5: Solve for x
    x = 272,515.53/596.58
  6. Step 6: Final answer
    x = 456.80

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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.