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Finding the Fourth Proportional to 546.08, 748.18 and 538.88

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Solution

The fourth proportional to 546.08, 748.18 and 538.88 is: 738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.08 : 748.18 = 538.88 : x
  2. Step 2: Convert to fraction form
    546.08/748.18 = 538.88/x
  3. Step 3: Cross multiply
    546.08x = 748.18 × 538.88
  4. Step 4: Simplify right side
    546.08x = 403,179.24
  5. Step 5: Solve for x
    x = 403,179.24/546.08
  6. Step 6: Final answer
    x = 738.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.