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Finding the Fourth Proportional to 596.92, 823.72 and 331.36

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Solution

The fourth proportional to 596.92, 823.72 and 331.36 is: 457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.92 : 823.72 = 331.36 : x
  2. Step 2: Convert to fraction form
    596.92/823.72 = 331.36/x
  3. Step 3: Cross multiply
    596.92x = 823.72 × 331.36
  4. Step 4: Simplify right side
    596.92x = 272,945.59
  5. Step 5: Solve for x
    x = 272,945.59/596.92
  6. Step 6: Final answer
    x = 457.26

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Double scale
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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.