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Finding the Fourth Proportional to 546.32, 753.42 and 406.78

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Solution

The fourth proportional to 546.32, 753.42 and 406.78 is: 560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.32 : 753.42 = 406.78 : x
  2. Step 2: Convert to fraction form
    546.32/753.42 = 406.78/x
  3. Step 3: Cross multiply
    546.32x = 753.42 × 406.78
  4. Step 4: Simplify right side
    546.32x = 306,474.15
  5. Step 5: Solve for x
    x = 306,474.15/546.32
  6. Step 6: Final answer
    x = 560.98

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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.