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Finding the Fourth Proportional to 580.66, 870.90 and 215.38

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Solution

The fourth proportional to 580.66, 870.90 and 215.38 is: 323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.66 : 870.90 = 215.38 : x
  2. Step 2: Convert to fraction form
    580.66/870.90 = 215.38/x
  3. Step 3: Cross multiply
    580.66x = 870.90 × 215.38
  4. Step 4: Simplify right side
    580.66x = 187,574.44
  5. Step 5: Solve for x
    x = 187,574.44/580.66
  6. Step 6: Final answer
    x = 323.04

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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.