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Finding the Fourth Proportional to 574.84, 861.80 and 249.98

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Solution

The fourth proportional to 574.84, 861.80 and 249.98 is: 374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.84 : 861.80 = 249.98 : x
  2. Step 2: Convert to fraction form
    574.84/861.80 = 249.98/x
  3. Step 3: Cross multiply
    574.84x = 861.80 × 249.98
  4. Step 4: Simplify right side
    574.84x = 215,432.76
  5. Step 5: Solve for x
    x = 215,432.76/574.84
  6. Step 6: Final answer
    x = 374.77

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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.