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Finding the Fourth Proportional to 586, 878.46 and 220.54

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Solution

The fourth proportional to 586, 878.46 and 220.54 is: 330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    586 : 878.46 = 220.54 : x
  2. Step 2: Convert to fraction form
    586/878.46 = 220.54/x
  3. Step 3: Cross multiply
    586x = 878.46 × 220.54
  4. Step 4: Simplify right side
    586x = 193,735.57
  5. Step 5: Solve for x
    x = 193,735.57/586
  6. Step 6: Final answer
    x = 330.61

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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.