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Finding the Fourth Proportional to 863.65, 1,294.46 and 315.48

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Solution

The fourth proportional to 863.65, 1,294.46 and 315.48 is: 472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.65 : 1,294.46 = 315.48 : x
  2. Step 2: Convert to fraction form
    863.65/1,294.46 = 315.48/x
  3. Step 3: Cross multiply
    863.65x = 1,294.46 × 315.48
  4. Step 4: Simplify right side
    863.65x = 408,376.24
  5. Step 5: Solve for x
    x = 408,376.24/863.65
  6. Step 6: Final answer
    x = 472.85

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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.