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Finding the Fourth Proportional to 542.46, 748.22 and 345.88

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Solution

The fourth proportional to 542.46, 748.22 and 345.88 is: 477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.46 : 748.22 = 345.88 : x
  2. Step 2: Convert to fraction form
    542.46/748.22 = 345.88/x
  3. Step 3: Cross multiply
    542.46x = 748.22 × 345.88
  4. Step 4: Simplify right side
    542.46x = 258,794.84
  5. Step 5: Solve for x
    x = 258,794.84/542.46
  6. Step 6: Final answer
    x = 477.08

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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.