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Finding the Fourth Proportional to 432.68, 649.40 and 224.59

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Solution

The fourth proportional to 432.68, 649.40 and 224.59 is: 337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.68 : 649.40 = 224.59 : x
  2. Step 2: Convert to fraction form
    432.68/649.40 = 224.59/x
  3. Step 3: Cross multiply
    432.68x = 649.40 × 224.59
  4. Step 4: Simplify right side
    432.68x = 145,848.75
  5. Step 5: Solve for x
    x = 145,848.75/432.68
  6. Step 6: Final answer
    x = 337.08

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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.