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Finding the Fourth Proportional to 585.41, 878.13 and 215.24

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Solution

The fourth proportional to 585.41, 878.13 and 215.24 is: 322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.41 : 878.13 = 215.24 : x
  2. Step 2: Convert to fraction form
    585.41/878.13 = 215.24/x
  3. Step 3: Cross multiply
    585.41x = 878.13 × 215.24
  4. Step 4: Simplify right side
    585.41x = 189,004.31
  5. Step 5: Solve for x
    x = 189,004.31/585.41
  6. Step 6: Final answer
    x = 322.86

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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.