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Finding the Fourth Proportional to 585.54, 878.15 and 174.58

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Solution

The fourth proportional to 585.54, 878.15 and 174.58 is: 261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.54 : 878.15 = 174.58 : x
  2. Step 2: Convert to fraction form
    585.54/878.15 = 174.58/x
  3. Step 3: Cross multiply
    585.54x = 878.15 × 174.58
  4. Step 4: Simplify right side
    585.54x = 153,306.55
  5. Step 5: Solve for x
    x = 153,306.55/585.54
  6. Step 6: Final answer
    x = 261.82

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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.