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Finding the Fourth Proportional to 863.84, 1,295.55 and 247.40

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Solution

The fourth proportional to 863.84, 1,295.55 and 247.40 is: 371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.84 : 1,295.55 = 247.40 : x
  2. Step 2: Convert to fraction form
    863.84/1,295.55 = 247.40/x
  3. Step 3: Cross multiply
    863.84x = 1,295.55 × 247.40
  4. Step 4: Simplify right side
    863.84x = 320,519.07
  5. Step 5: Solve for x
    x = 320,519.07/863.84
  6. Step 6: Final answer
    x = 371.04

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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.