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Finding the Fourth Proportional to 285.30, 425.98 and 255.82

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Solution

The fourth proportional to 285.30, 425.98 and 255.82 is: 381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.30 : 425.98 = 255.82 : x
  2. Step 2: Convert to fraction form
    285.30/425.98 = 255.82/x
  3. Step 3: Cross multiply
    285.30x = 425.98 × 255.82
  4. Step 4: Simplify right side
    285.30x = 108,974.20
  5. Step 5: Solve for x
    x = 108,974.20/285.30
  6. Step 6: Final answer
    x = 381.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.