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Finding the Fourth Proportional to 542.98, 748.83 and 426.34

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Solution

The fourth proportional to 542.98, 748.83 and 426.34 is: 587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.98 : 748.83 = 426.34 : x
  2. Step 2: Convert to fraction form
    542.98/748.83 = 426.34/x
  3. Step 3: Cross multiply
    542.98x = 748.83 × 426.34
  4. Step 4: Simplify right side
    542.98x = 319,256.18
  5. Step 5: Solve for x
    x = 319,256.18/542.98
  6. Step 6: Final answer
    x = 587.97

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