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Finding the Fourth Proportional to 546.24, 753.20 and 406.62

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Solution

The fourth proportional to 546.24, 753.20 and 406.62 is: 560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 753.20 = 406.62 : x
  2. Step 2: Convert to fraction form
    546.24/753.20 = 406.62/x
  3. Step 3: Cross multiply
    546.24x = 753.20 × 406.62
  4. Step 4: Simplify right side
    546.24x = 306,264.15
  5. Step 5: Solve for x
    x = 306,264.15/546.24
  6. Step 6: Final answer
    x = 560.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.