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Finding the Fourth Proportional to 584.87, 876.87 and 311.09

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Solution

The fourth proportional to 584.87, 876.87 and 311.09 is: 466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.87 : 876.87 = 311.09 : x
  2. Step 2: Convert to fraction form
    584.87/876.87 = 311.09/x
  3. Step 3: Cross multiply
    584.87x = 876.87 × 311.09
  4. Step 4: Simplify right side
    584.87x = 272,781.10
  5. Step 5: Solve for x
    x = 272,781.10/584.87
  6. Step 6: Final answer
    x = 466.40

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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.