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Finding the Fourth Proportional to 811.52, 1,217.81 and 298.52

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Solution

The fourth proportional to 811.52, 1,217.81 and 298.52 is: 447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.52 : 1,217.81 = 298.52 : x
  2. Step 2: Convert to fraction form
    811.52/1,217.81 = 298.52/x
  3. Step 3: Cross multiply
    811.52x = 1,217.81 × 298.52
  4. Step 4: Simplify right side
    811.52x = 363,537.19
  5. Step 5: Solve for x
    x = 363,537.19/811.52
  6. Step 6: Final answer
    x = 447.97

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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.