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Finding the Fourth Proportional to 546.72, 820.32 and 424.80

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Solution

The fourth proportional to 546.72, 820.32 and 424.80 is: 637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.72 : 820.32 = 424.80 : x
  2. Step 2: Convert to fraction form
    546.72/820.32 = 424.80/x
  3. Step 3: Cross multiply
    546.72x = 820.32 × 424.80
  4. Step 4: Simplify right side
    546.72x = 348,471.94
  5. Step 5: Solve for x
    x = 348,471.94/546.72
  6. Step 6: Final answer
    x = 637.39

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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.