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Finding the Fourth Proportional to 432.17, 596.52 and 314.15

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Solution

The fourth proportional to 432.17, 596.52 and 314.15 is: 433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.17 : 596.52 = 314.15 : x
  2. Step 2: Convert to fraction form
    432.17/596.52 = 314.15/x
  3. Step 3: Cross multiply
    432.17x = 596.52 × 314.15
  4. Step 4: Simplify right side
    432.17x = 187,398.25
  5. Step 5: Solve for x
    x = 187,398.25/432.17
  6. Step 6: Final answer
    x = 433.63

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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.