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Finding the Fourth Proportional to 584.62, 874.19 and 576.42

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Solution

The fourth proportional to 584.62, 874.19 and 576.42 is: 861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.62 : 874.19 = 576.42 : x
  2. Step 2: Convert to fraction form
    584.62/874.19 = 576.42/x
  3. Step 3: Cross multiply
    584.62x = 874.19 × 576.42
  4. Step 4: Simplify right side
    584.62x = 503,898.76
  5. Step 5: Solve for x
    x = 503,898.76/584.62
  6. Step 6: Final answer
    x = 861.93

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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.