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Finding the Fourth Proportional to 854.86, 1,282.28 and 238.55

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Solution

The fourth proportional to 854.86, 1,282.28 and 238.55 is: 357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.86 : 1,282.28 = 238.55 : x
  2. Step 2: Convert to fraction form
    854.86/1,282.28 = 238.55/x
  3. Step 3: Cross multiply
    854.86x = 1,282.28 × 238.55
  4. Step 4: Simplify right side
    854.86x = 305,886.70
  5. Step 5: Solve for x
    x = 305,886.70/854.86
  6. Step 6: Final answer
    x = 357.82

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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.