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Finding the Fourth Proportional to 542.36, 748.64 and 402.44

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Solution

The fourth proportional to 542.36, 748.64 and 402.44 is: 555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.36 : 748.64 = 402.44 : x
  2. Step 2: Convert to fraction form
    542.36/748.64 = 402.44/x
  3. Step 3: Cross multiply
    542.36x = 748.64 × 402.44
  4. Step 4: Simplify right side
    542.36x = 301,276.93
  5. Step 5: Solve for x
    x = 301,276.93/542.36
  6. Step 6: Final answer
    x = 555.49

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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.