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Finding the Fourth Proportional to 854.95, 1,282.38 and 238.69

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Solution

The fourth proportional to 854.95, 1,282.38 and 238.69 is: 358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.95 : 1,282.38 = 238.69 : x
  2. Step 2: Convert to fraction form
    854.95/1,282.38 = 238.69/x
  3. Step 3: Cross multiply
    854.95x = 1,282.38 × 238.69
  4. Step 4: Simplify right side
    854.95x = 306,091.28
  5. Step 5: Solve for x
    x = 306,091.28/854.95
  6. Step 6: Final answer
    x = 358.02

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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.