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Finding the Fourth Proportional to 542.26, 748.32 and 309.40

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Solution

The fourth proportional to 542.26, 748.32 and 309.40 is: 426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.26 : 748.32 = 309.40 : x
  2. Step 2: Convert to fraction form
    542.26/748.32 = 309.40/x
  3. Step 3: Cross multiply
    542.26x = 748.32 × 309.40
  4. Step 4: Simplify right side
    542.26x = 231,530.21
  5. Step 5: Solve for x
    x = 231,530.21/542.26
  6. Step 6: Final answer
    x = 426.97

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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.