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Finding the Fourth Proportional to 862.84, 1,294.02 and 314.92

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Solution

The fourth proportional to 862.84, 1,294.02 and 314.92 is: 472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.84 : 1,294.02 = 314.92 : x
  2. Step 2: Convert to fraction form
    862.84/1,294.02 = 314.92/x
  3. Step 3: Cross multiply
    862.84x = 1,294.02 × 314.92
  4. Step 4: Simplify right side
    862.84x = 407,512.78
  5. Step 5: Solve for x
    x = 407,512.78/862.84
  6. Step 6: Final answer
    x = 472.29

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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.