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Finding the Fourth Proportional to 908.85, 1,363.31 and 292.59

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Solution

The fourth proportional to 908.85, 1,363.31 and 292.59 is: 438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.85 : 1,363.31 = 292.59 : x
  2. Step 2: Convert to fraction form
    908.85/1,363.31 = 292.59/x
  3. Step 3: Cross multiply
    908.85x = 1,363.31 × 292.59
  4. Step 4: Simplify right side
    908.85x = 398,890.87
  5. Step 5: Solve for x
    x = 398,890.87/908.85
  6. Step 6: Final answer
    x = 438.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.