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Finding the Fourth Proportional to 585.49, 878.27 and 260.86

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Solution

The fourth proportional to 585.49, 878.27 and 260.86 is: 391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.49 : 878.27 = 260.86 : x
  2. Step 2: Convert to fraction form
    585.49/878.27 = 260.86/x
  3. Step 3: Cross multiply
    585.49x = 878.27 × 260.86
  4. Step 4: Simplify right side
    585.49x = 229,104.21
  5. Step 5: Solve for x
    x = 229,104.21/585.49
  6. Step 6: Final answer
    x = 391.30

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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.