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Finding the Fourth Proportional to 868.28, 1,302.55 and 251.99

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Solution

The fourth proportional to 868.28, 1,302.55 and 251.99 is: 378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.28 : 1,302.55 = 251.99 : x
  2. Step 2: Convert to fraction form
    868.28/1,302.55 = 251.99/x
  3. Step 3: Cross multiply
    868.28x = 1,302.55 × 251.99
  4. Step 4: Simplify right side
    868.28x = 328,233.46
  5. Step 5: Solve for x
    x = 328,233.46/868.28
  6. Step 6: Final answer
    x = 378.03

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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.