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Finding the Fourth Proportional to 294.06, 404.61 and 269.76

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Solution

The fourth proportional to 294.06, 404.61 and 269.76 is: 371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.06 : 404.61 = 269.76 : x
  2. Step 2: Convert to fraction form
    294.06/404.61 = 269.76/x
  3. Step 3: Cross multiply
    294.06x = 404.61 × 269.76
  4. Step 4: Simplify right side
    294.06x = 109,147.59
  5. Step 5: Solve for x
    x = 109,147.59/294.06
  6. Step 6: Final answer
    x = 371.17

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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.