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Finding the Fourth Proportional to 596.48, 823.52 and 386.76

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Solution

The fourth proportional to 596.48, 823.52 and 386.76 is: 533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.48 : 823.52 = 386.76 : x
  2. Step 2: Convert to fraction form
    596.48/823.52 = 386.76/x
  3. Step 3: Cross multiply
    596.48x = 823.52 × 386.76
  4. Step 4: Simplify right side
    596.48x = 318,504.60
  5. Step 5: Solve for x
    x = 318,504.60/596.48
  6. Step 6: Final answer
    x = 533.97

Related Problems

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Half scale
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Double scale
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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.