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Finding the Fourth Proportional to 542.63, 749.15 and 343.73

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Solution

The fourth proportional to 542.63, 749.15 and 343.73 is: 474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.63 : 749.15 = 343.73 : x
  2. Step 2: Convert to fraction form
    542.63/749.15 = 343.73/x
  3. Step 3: Cross multiply
    542.63x = 749.15 × 343.73
  4. Step 4: Simplify right side
    542.63x = 257,499.87
  5. Step 5: Solve for x
    x = 257,499.87/542.63
  6. Step 6: Final answer
    x = 474.54

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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.