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Finding the Fourth Proportional to 416.98, 575.67 and 269.86

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Solution

The fourth proportional to 416.98, 575.67 and 269.86 is: 372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.98 : 575.67 = 269.86 : x
  2. Step 2: Convert to fraction form
    416.98/575.67 = 269.86/x
  3. Step 3: Cross multiply
    416.98x = 575.67 × 269.86
  4. Step 4: Simplify right side
    416.98x = 155,350.31
  5. Step 5: Solve for x
    x = 155,350.31/416.98
  6. Step 6: Final answer
    x = 372.56

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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.