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Finding the Fourth Proportional to 432.66, 649.04 and 124.52

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Solution

The fourth proportional to 432.66, 649.04 and 124.52 is: 186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.66 : 649.04 = 124.52 : x
  2. Step 2: Convert to fraction form
    432.66/649.04 = 124.52/x
  3. Step 3: Cross multiply
    432.66x = 649.04 × 124.52
  4. Step 4: Simplify right side
    432.66x = 80,819.46
  5. Step 5: Solve for x
    x = 80,819.46/432.66
  6. Step 6: Final answer
    x = 186.80

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