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Finding the Fourth Proportional to 585.82, 878.14 and 220.42

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Solution

The fourth proportional to 585.82, 878.14 and 220.42 is: 330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.82 : 878.14 = 220.42 : x
  2. Step 2: Convert to fraction form
    585.82/878.14 = 220.42/x
  3. Step 3: Cross multiply
    585.82x = 878.14 × 220.42
  4. Step 4: Simplify right side
    585.82x = 193,559.62
  5. Step 5: Solve for x
    x = 193,559.62/585.82
  6. Step 6: Final answer
    x = 330.41

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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.