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Finding the Fourth Proportional to 868.46, 1,302.84 and 252.14

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Solution

The fourth proportional to 868.46, 1,302.84 and 252.14 is: 378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.46 : 1,302.84 = 252.14 : x
  2. Step 2: Convert to fraction form
    868.46/1,302.84 = 252.14/x
  3. Step 3: Cross multiply
    868.46x = 1,302.84 × 252.14
  4. Step 4: Simplify right side
    868.46x = 328,491.56
  5. Step 5: Solve for x
    x = 328,491.56/868.46
  6. Step 6: Final answer
    x = 378.25

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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.