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Finding the Fourth Proportional to 585.48, 878.22 and 260.76

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Solution

The fourth proportional to 585.48, 878.22 and 260.76 is: 391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.48 : 878.22 = 260.76 : x
  2. Step 2: Convert to fraction form
    585.48/878.22 = 260.76/x
  3. Step 3: Cross multiply
    585.48x = 878.22 × 260.76
  4. Step 4: Simplify right side
    585.48x = 229,004.65
  5. Step 5: Solve for x
    x = 229,004.65/585.48
  6. Step 6: Final answer
    x = 391.14

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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.