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Finding the Fourth Proportional to 585.92, 878.70 and 311.96

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Solution

The fourth proportional to 585.92, 878.70 and 311.96 is: 467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.92 : 878.70 = 311.96 : x
  2. Step 2: Convert to fraction form
    585.92/878.70 = 311.96/x
  3. Step 3: Cross multiply
    585.92x = 878.70 × 311.96
  4. Step 4: Simplify right side
    585.92x = 274,119.25
  5. Step 5: Solve for x
    x = 274,119.25/585.92
  6. Step 6: Final answer
    x = 467.84

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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.