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Finding the Fourth Proportional to 868.25, 1,302.92 and 320.69

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Solution

The fourth proportional to 868.25, 1,302.92 and 320.69 is: 481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.25 : 1,302.92 = 320.69 : x
  2. Step 2: Convert to fraction form
    868.25/1,302.92 = 320.69/x
  3. Step 3: Cross multiply
    868.25x = 1,302.92 × 320.69
  4. Step 4: Simplify right side
    868.25x = 417,833.41
  5. Step 5: Solve for x
    x = 417,833.41/868.25
  6. Step 6: Final answer
    x = 481.24

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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.