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Finding the Fourth Proportional to 585.47, 878.00 and 200.63

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Solution

The fourth proportional to 585.47, 878.00 and 200.63 is: 300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.47 : 878.00 = 200.63 : x
  2. Step 2: Convert to fraction form
    585.47/878.00 = 200.63/x
  3. Step 3: Cross multiply
    585.47x = 878.00 × 200.63
  4. Step 4: Simplify right side
    585.47x = 176,147.75
  5. Step 5: Solve for x
    x = 176,147.75/585.47
  6. Step 6: Final answer
    x = 300.87

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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.