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Finding the Fourth Proportional to 585.97, 878.32 and 311.78

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Solution

The fourth proportional to 585.97, 878.32 and 311.78 is: 467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.97 : 878.32 = 311.78 : x
  2. Step 2: Convert to fraction form
    585.97/878.32 = 311.78/x
  3. Step 3: Cross multiply
    585.97x = 878.32 × 311.78
  4. Step 4: Simplify right side
    585.97x = 273,844.03
  5. Step 5: Solve for x
    x = 273,844.03/585.97
  6. Step 6: Final answer
    x = 467.34

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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.