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Finding the Fourth Proportional to 853.92, 1,280.66 and 237.48

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Solution

The fourth proportional to 853.92, 1,280.66 and 237.48 is: 356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.92 : 1,280.66 = 237.48 : x
  2. Step 2: Convert to fraction form
    853.92/1,280.66 = 237.48/x
  3. Step 3: Cross multiply
    853.92x = 1,280.66 × 237.48
  4. Step 4: Simplify right side
    853.92x = 304,129.95
  5. Step 5: Solve for x
    x = 304,129.95/853.92
  6. Step 6: Final answer
    x = 356.16

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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.