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Finding the Fourth Proportional to 269.65, 406.90 and 259.99

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Solution

The fourth proportional to 269.65, 406.90 and 259.99 is: 392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.65 : 406.90 = 259.99 : x
  2. Step 2: Convert to fraction form
    269.65/406.90 = 259.99/x
  3. Step 3: Cross multiply
    269.65x = 406.90 × 259.99
  4. Step 4: Simplify right side
    269.65x = 105,790.80
  5. Step 5: Solve for x
    x = 105,790.80/269.65
  6. Step 6: Final answer
    x = 392.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.