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Finding the Fourth Proportional to 432.47, 649.04 and 158.74

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Solution

The fourth proportional to 432.47, 649.04 and 158.74 is: 238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.47 : 649.04 = 158.74 : x
  2. Step 2: Convert to fraction form
    432.47/649.04 = 158.74/x
  3. Step 3: Cross multiply
    432.47x = 649.04 × 158.74
  4. Step 4: Simplify right side
    432.47x = 103,028.61
  5. Step 5: Solve for x
    x = 103,028.61/432.47
  6. Step 6: Final answer
    x = 238.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.