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Finding the Fourth Proportional to 285.12, 426.47 and 215.87

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Solution

The fourth proportional to 285.12, 426.47 and 215.87 is: 322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.12 : 426.47 = 215.87 : x
  2. Step 2: Convert to fraction form
    285.12/426.47 = 215.87/x
  3. Step 3: Cross multiply
    285.12x = 426.47 × 215.87
  4. Step 4: Simplify right side
    285.12x = 92,058.87
  5. Step 5: Solve for x
    x = 92,058.87/285.12
  6. Step 6: Final answer
    x = 322.88

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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.