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Finding the Fourth Proportional to 432.14, 596.16 and 284.72

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Solution

The fourth proportional to 432.14, 596.16 and 284.72 is: 392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.14 : 596.16 = 284.72 : x
  2. Step 2: Convert to fraction form
    432.14/596.16 = 284.72/x
  3. Step 3: Cross multiply
    432.14x = 596.16 × 284.72
  4. Step 4: Simplify right side
    432.14x = 169,735.69
  5. Step 5: Solve for x
    x = 169,735.69/432.14
  6. Step 6: Final answer
    x = 392.78

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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.