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Finding the Fourth Proportional to 542.24, 749.06 and 522.28

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Solution

The fourth proportional to 542.24, 749.06 and 522.28 is: 721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.24 : 749.06 = 522.28 : x
  2. Step 2: Convert to fraction form
    542.24/749.06 = 522.28/x
  3. Step 3: Cross multiply
    542.24x = 749.06 × 522.28
  4. Step 4: Simplify right side
    542.24x = 391,219.06
  5. Step 5: Solve for x
    x = 391,219.06/542.24
  6. Step 6: Final answer
    x = 721.49

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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.