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Finding the Fourth Proportional to 908.75, 1,363.25 and 292.25

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Solution

The fourth proportional to 908.75, 1,363.25 and 292.25 is: 438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.75 : 1,363.25 = 292.25 : x
  2. Step 2: Convert to fraction form
    908.75/1,363.25 = 292.25/x
  3. Step 3: Cross multiply
    908.75x = 1,363.25 × 292.25
  4. Step 4: Simplify right side
    908.75x = 398,403.00
  5. Step 5: Solve for x
    x = 398,403.00/908.75
  6. Step 6: Final answer
    x = 438.41

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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.