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Finding the Fourth Proportional to 547.44, 819.24 and 432.24

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Solution

The fourth proportional to 547.44, 819.24 and 432.24 is: 646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.44 : 819.24 = 432.24 : x
  2. Step 2: Convert to fraction form
    547.44/819.24 = 432.24/x
  3. Step 3: Cross multiply
    547.44x = 819.24 × 432.24
  4. Step 4: Simplify right side
    547.44x = 354,108.30
  5. Step 5: Solve for x
    x = 354,108.30/547.44
  6. Step 6: Final answer
    x = 646.84

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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.