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Finding the Fourth Proportional to 498.69, 747.41 and 362.21

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Solution

The fourth proportional to 498.69, 747.41 and 362.21 is: 542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.69 : 747.41 = 362.21 : x
  2. Step 2: Convert to fraction form
    498.69/747.41 = 362.21/x
  3. Step 3: Cross multiply
    498.69x = 747.41 × 362.21
  4. Step 4: Simplify right side
    498.69x = 270,713.83
  5. Step 5: Solve for x
    x = 270,713.83/498.69
  6. Step 6: Final answer
    x = 542.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.