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Finding the Fourth Proportional to 585.56, 878.10 and 220.34

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Solution

The fourth proportional to 585.56, 878.10 and 220.34 is: 330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.56 : 878.10 = 220.34 : x
  2. Step 2: Convert to fraction form
    585.56/878.10 = 220.34/x
  3. Step 3: Cross multiply
    585.56x = 878.10 × 220.34
  4. Step 4: Simplify right side
    585.56x = 193,480.55
  5. Step 5: Solve for x
    x = 193,480.55/585.56
  6. Step 6: Final answer
    x = 330.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.