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Finding the Fourth Proportional to 542.07, 748.06 and 410.85

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Solution

The fourth proportional to 542.07, 748.06 and 410.85 is: 566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.07 : 748.06 = 410.85 : x
  2. Step 2: Convert to fraction form
    542.07/748.06 = 410.85/x
  3. Step 3: Cross multiply
    542.07x = 748.06 × 410.85
  4. Step 4: Simplify right side
    542.07x = 307,340.45
  5. Step 5: Solve for x
    x = 307,340.45/542.07
  6. Step 6: Final answer
    x = 566.98

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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.