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Finding the Fourth Proportional to 585.94, 878.11 and 220.36

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Solution

The fourth proportional to 585.94, 878.11 and 220.36 is: 330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.94 : 878.11 = 220.36 : x
  2. Step 2: Convert to fraction form
    585.94/878.11 = 220.36/x
  3. Step 3: Cross multiply
    585.94x = 878.11 × 220.36
  4. Step 4: Simplify right side
    585.94x = 193,500.32
  5. Step 5: Solve for x
    x = 193,500.32/585.94
  6. Step 6: Final answer
    x = 330.24

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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.