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Finding the Fourth Proportional to 432.52, 596.27 and 308.13

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Solution

The fourth proportional to 432.52, 596.27 and 308.13 is: 424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.52 : 596.27 = 308.13 : x
  2. Step 2: Convert to fraction form
    432.52/596.27 = 308.13/x
  3. Step 3: Cross multiply
    432.52x = 596.27 × 308.13
  4. Step 4: Simplify right side
    432.52x = 183,728.68
  5. Step 5: Solve for x
    x = 183,728.68/432.52
  6. Step 6: Final answer
    x = 424.79

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