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Finding the Fourth Proportional to 585.49, 878.40 and 174.61

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Solution

The fourth proportional to 585.49, 878.40 and 174.61 is: 261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.49 : 878.40 = 174.61 : x
  2. Step 2: Convert to fraction form
    585.49/878.40 = 174.61/x
  3. Step 3: Cross multiply
    585.49x = 878.40 × 174.61
  4. Step 4: Simplify right side
    585.49x = 153,377.42
  5. Step 5: Solve for x
    x = 153,377.42/585.49
  6. Step 6: Final answer
    x = 261.96

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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.