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Finding the Fourth Proportional to 585.31, 878.16 and 260.68

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Solution

The fourth proportional to 585.31, 878.16 and 260.68 is: 391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.31 : 878.16 = 260.68 : x
  2. Step 2: Convert to fraction form
    585.31/878.16 = 260.68/x
  3. Step 3: Cross multiply
    585.31x = 878.16 × 260.68
  4. Step 4: Simplify right side
    585.31x = 228,918.75
  5. Step 5: Solve for x
    x = 228,918.75/585.31
  6. Step 6: Final answer
    x = 391.11

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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.