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Finding the Fourth Proportional to 542.20, 748.20 and 309.32

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Solution

The fourth proportional to 542.20, 748.20 and 309.32 is: 426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.20 : 748.20 = 309.32 : x
  2. Step 2: Convert to fraction form
    542.20/748.20 = 309.32/x
  3. Step 3: Cross multiply
    542.20x = 748.20 × 309.32
  4. Step 4: Simplify right side
    542.20x = 231,433.22
  5. Step 5: Solve for x
    x = 231,433.22/542.20
  6. Step 6: Final answer
    x = 426.84

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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.