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Finding the Fourth Proportional to 580.57, 870.85 and 215.26

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Solution

The fourth proportional to 580.57, 870.85 and 215.26 is: 322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.57 : 870.85 = 215.26 : x
  2. Step 2: Convert to fraction form
    580.57/870.85 = 215.26/x
  3. Step 3: Cross multiply
    580.57x = 870.85 × 215.26
  4. Step 4: Simplify right side
    580.57x = 187,454.82
  5. Step 5: Solve for x
    x = 187,454.82/580.57
  6. Step 6: Final answer
    x = 322.88

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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.