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Finding the Fourth Proportional to 585.85, 878.23 and 220.39

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Solution

The fourth proportional to 585.85, 878.23 and 220.39 is: 330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.85 : 878.23 = 220.39 : x
  2. Step 2: Convert to fraction form
    585.85/878.23 = 220.39/x
  3. Step 3: Cross multiply
    585.85x = 878.23 × 220.39
  4. Step 4: Simplify right side
    585.85x = 193,551.19
  5. Step 5: Solve for x
    x = 193,551.19/585.85
  6. Step 6: Final answer
    x = 330.38

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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.