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Finding the Fourth Proportional to 542.24, 749.40 and 402.56

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Solution

The fourth proportional to 542.24, 749.40 and 402.56 is: 556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.24 : 749.40 = 402.56 : x
  2. Step 2: Convert to fraction form
    542.24/749.40 = 402.56/x
  3. Step 3: Cross multiply
    542.24x = 749.40 × 402.56
  4. Step 4: Simplify right side
    542.24x = 301,678.46
  5. Step 5: Solve for x
    x = 301,678.46/542.24
  6. Step 6: Final answer
    x = 556.36

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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.