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Finding the Fourth Proportional to 584.87, 878.22 and 580.64

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Solution

The fourth proportional to 584.87, 878.22 and 580.64 is: 871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.87 : 878.22 = 580.64 : x
  2. Step 2: Convert to fraction form
    584.87/878.22 = 580.64/x
  3. Step 3: Cross multiply
    584.87x = 878.22 × 580.64
  4. Step 4: Simplify right side
    584.87x = 509,929.66
  5. Step 5: Solve for x
    x = 509,929.66/584.87
  6. Step 6: Final answer
    x = 871.87

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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.