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Finding the Fourth Proportional to 811.53, 1,217.25 and 298.53

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Solution

The fourth proportional to 811.53, 1,217.25 and 298.53 is: 447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.53 : 1,217.25 = 298.53 : x
  2. Step 2: Convert to fraction form
    811.53/1,217.25 = 298.53/x
  3. Step 3: Cross multiply
    811.53x = 1,217.25 × 298.53
  4. Step 4: Simplify right side
    811.53x = 363,385.64
  5. Step 5: Solve for x
    x = 363,385.64/811.53
  6. Step 6: Final answer
    x = 447.78

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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.