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Finding the Fourth Proportional to 432.71, 596.93 and 292.87

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Solution

The fourth proportional to 432.71, 596.93 and 292.87 is: 404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.71 : 596.93 = 292.87 : x
  2. Step 2: Convert to fraction form
    432.71/596.93 = 292.87/x
  3. Step 3: Cross multiply
    432.71x = 596.93 × 292.87
  4. Step 4: Simplify right side
    432.71x = 174,819.93
  5. Step 5: Solve for x
    x = 174,819.93/432.71
  6. Step 6: Final answer
    x = 404.02

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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.