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Finding the Fourth Proportional to 585.26, 878.05 and 200.54

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Solution

The fourth proportional to 585.26, 878.05 and 200.54 is: 300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.26 : 878.05 = 200.54 : x
  2. Step 2: Convert to fraction form
    585.26/878.05 = 200.54/x
  3. Step 3: Cross multiply
    585.26x = 878.05 × 200.54
  4. Step 4: Simplify right side
    585.26x = 176,084.15
  5. Step 5: Solve for x
    x = 176,084.15/585.26
  6. Step 6: Final answer
    x = 300.86

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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.