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Finding the Fourth Proportional to 478.88, 660.78 and 269.04

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Solution

The fourth proportional to 478.88, 660.78 and 269.04 is: 371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.88 : 660.78 = 269.04 : x
  2. Step 2: Convert to fraction form
    478.88/660.78 = 269.04/x
  3. Step 3: Cross multiply
    478.88x = 660.78 × 269.04
  4. Step 4: Simplify right side
    478.88x = 177,776.25
  5. Step 5: Solve for x
    x = 177,776.25/478.88
  6. Step 6: Final answer
    x = 371.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.