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Finding the Fourth Proportional to 416.33, 574.34 and 269.02

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Solution

The fourth proportional to 416.33, 574.34 and 269.02 is: 371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.33 : 574.34 = 269.02 : x
  2. Step 2: Convert to fraction form
    416.33/574.34 = 269.02/x
  3. Step 3: Cross multiply
    416.33x = 574.34 × 269.02
  4. Step 4: Simplify right side
    416.33x = 154,508.95
  5. Step 5: Solve for x
    x = 154,508.95/416.33
  6. Step 6: Final answer
    x = 371.12

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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.