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Finding the Fourth Proportional to 416.77, 575.33 and 269.65

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Solution

The fourth proportional to 416.77, 575.33 and 269.65 is: 372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.77 : 575.33 = 269.65 : x
  2. Step 2: Convert to fraction form
    416.77/575.33 = 269.65/x
  3. Step 3: Cross multiply
    416.77x = 575.33 × 269.65
  4. Step 4: Simplify right side
    416.77x = 155,137.73
  5. Step 5: Solve for x
    x = 155,137.73/416.77
  6. Step 6: Final answer
    x = 372.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.