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Finding the Fourth Proportional to 478.98, 661.02 and 269.17

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Solution

The fourth proportional to 478.98, 661.02 and 269.17 is: 371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.98 : 661.02 = 269.17 : x
  2. Step 2: Convert to fraction form
    478.98/661.02 = 269.17/x
  3. Step 3: Cross multiply
    478.98x = 661.02 × 269.17
  4. Step 4: Simplify right side
    478.98x = 177,926.75
  5. Step 5: Solve for x
    x = 177,926.75/478.98
  6. Step 6: Final answer
    x = 371.47

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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.