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Finding the Fourth Proportional to 870.73, 1,305.78 and 254.42

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Solution

The fourth proportional to 870.73, 1,305.78 and 254.42 is: 381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.73 : 1,305.78 = 254.42 : x
  2. Step 2: Convert to fraction form
    870.73/1,305.78 = 254.42/x
  3. Step 3: Cross multiply
    870.73x = 1,305.78 × 254.42
  4. Step 4: Simplify right side
    870.73x = 332,216.55
  5. Step 5: Solve for x
    x = 332,216.55/870.73
  6. Step 6: Final answer
    x = 381.54

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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.