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Finding the Fourth Proportional to 269.74, 404.97 and 258.78

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Solution

The fourth proportional to 269.74, 404.97 and 258.78 is: 388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.74 : 404.97 = 258.78 : x
  2. Step 2: Convert to fraction form
    269.74/404.97 = 258.78/x
  3. Step 3: Cross multiply
    269.74x = 404.97 × 258.78
  4. Step 4: Simplify right side
    269.74x = 104,798.14
  5. Step 5: Solve for x
    x = 104,798.14/269.74
  6. Step 6: Final answer
    x = 388.52

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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.