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Finding the Fourth Proportional to 581.06, 871.18 and 215.75

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Solution

The fourth proportional to 581.06, 871.18 and 215.75 is: 323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.06 : 871.18 = 215.75 : x
  2. Step 2: Convert to fraction form
    581.06/871.18 = 215.75/x
  3. Step 3: Cross multiply
    581.06x = 871.18 × 215.75
  4. Step 4: Simplify right side
    581.06x = 187,951.65
  5. Step 5: Solve for x
    x = 187,951.65/581.06
  6. Step 6: Final answer
    x = 323.47

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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.