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Finding the Fourth Proportional to 576.98, 861.28 and 494.36

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Solution

The fourth proportional to 576.98, 861.28 and 494.36 is: 737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.98 : 861.28 = 494.36 : x
  2. Step 2: Convert to fraction form
    576.98/861.28 = 494.36/x
  3. Step 3: Cross multiply
    576.98x = 861.28 × 494.36
  4. Step 4: Simplify right side
    576.98x = 425,782.38
  5. Step 5: Solve for x
    x = 425,782.38/576.98
  6. Step 6: Final answer
    x = 737.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.