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Finding the Fourth Proportional to 580.84, 871.62 and 215.71

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Solution

The fourth proportional to 580.84, 871.62 and 215.71 is: 323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.84 : 871.62 = 215.71 : x
  2. Step 2: Convert to fraction form
    580.84/871.62 = 215.71/x
  3. Step 3: Cross multiply
    580.84x = 871.62 × 215.71
  4. Step 4: Simplify right side
    580.84x = 188,017.15
  5. Step 5: Solve for x
    x = 188,017.15/580.84
  6. Step 6: Final answer
    x = 323.70

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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.