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Finding the Fourth Proportional to 908.97, 1,363.55 and 292.52

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Solution

The fourth proportional to 908.97, 1,363.55 and 292.52 is: 438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.97 : 1,363.55 = 292.52 : x
  2. Step 2: Convert to fraction form
    908.97/1,363.55 = 292.52/x
  3. Step 3: Cross multiply
    908.97x = 1,363.55 × 292.52
  4. Step 4: Simplify right side
    908.97x = 398,857.37
  5. Step 5: Solve for x
    x = 398,857.37/908.97
  6. Step 6: Final answer
    x = 438.80

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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.