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Finding the Fourth Proportional to 269.40, 404.06 and 77

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Solution

The fourth proportional to 269.40, 404.06 and 77 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.40 : 404.06 = 77 : x
  2. Step 2: Convert to fraction form
    269.40/404.06 = 77/x
  3. Step 3: Cross multiply
    269.40x = 404.06 × 77
  4. Step 4: Simplify right side
    269.40x = 31,112.62
  5. Step 5: Solve for x
    x = 31,112.62/269.40
  6. Step 6: Final answer
    x = 115.49

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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.