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Finding the Fourth Proportional to 580.74, 870.56 and 215.28

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Solution

The fourth proportional to 580.74, 870.56 and 215.28 is: 322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.74 : 870.56 = 215.28 : x
  2. Step 2: Convert to fraction form
    580.74/870.56 = 215.28/x
  3. Step 3: Cross multiply
    580.74x = 870.56 × 215.28
  4. Step 4: Simplify right side
    580.74x = 187,414.16
  5. Step 5: Solve for x
    x = 187,414.16/580.74
  6. Step 6: Final answer
    x = 322.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.