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Finding the Fourth Proportional to 580.18, 870.27 and 141.43

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Solution

The fourth proportional to 580.18, 870.27 and 141.43 is: 212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.18 : 870.27 = 141.43 : x
  2. Step 2: Convert to fraction form
    580.18/870.27 = 141.43/x
  3. Step 3: Cross multiply
    580.18x = 870.27 × 141.43
  4. Step 4: Simplify right side
    580.18x = 123,082.53
  5. Step 5: Solve for x
    x = 123,082.53/580.18
  6. Step 6: Final answer
    x = 212.15

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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.