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Finding the Fourth Proportional to 542.54, 748.74 and 346.10

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Solution

The fourth proportional to 542.54, 748.74 and 346.10 is: 477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.54 : 748.74 = 346.10 : x
  2. Step 2: Convert to fraction form
    542.54/748.74 = 346.10/x
  3. Step 3: Cross multiply
    542.54x = 748.74 × 346.10
  4. Step 4: Simplify right side
    542.54x = 259,138.91
  5. Step 5: Solve for x
    x = 259,138.91/542.54
  6. Step 6: Final answer
    x = 477.64

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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.