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Finding the Fourth Proportional to 863.16, 1,294.88 and 315.23

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Solution

The fourth proportional to 863.16, 1,294.88 and 315.23 is: 472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.16 : 1,294.88 = 315.23 : x
  2. Step 2: Convert to fraction form
    863.16/1,294.88 = 315.23/x
  3. Step 3: Cross multiply
    863.16x = 1,294.88 × 315.23
  4. Step 4: Simplify right side
    863.16x = 408,177.86
  5. Step 5: Solve for x
    x = 408,177.86/863.16
  6. Step 6: Final answer
    x = 472.89

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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.