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Finding the Fourth Proportional to 542.84, 749.12 and 523.22

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Solution

The fourth proportional to 542.84, 749.12 and 523.22 is: 722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.84 : 749.12 = 523.22 : x
  2. Step 2: Convert to fraction form
    542.84/749.12 = 523.22/x
  3. Step 3: Cross multiply
    542.84x = 749.12 × 523.22
  4. Step 4: Simplify right side
    542.84x = 391,948.20
  5. Step 5: Solve for x
    x = 391,948.20/542.84
  6. Step 6: Final answer
    x = 722.04

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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.