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Finding the Fourth Proportional to 416.56, 574.72 and 269.24

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Solution

The fourth proportional to 416.56, 574.72 and 269.24 is: 371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.56 : 574.72 = 269.24 : x
  2. Step 2: Convert to fraction form
    416.56/574.72 = 269.24/x
  3. Step 3: Cross multiply
    416.56x = 574.72 × 269.24
  4. Step 4: Simplify right side
    416.56x = 154,737.61
  5. Step 5: Solve for x
    x = 154,737.61/416.56
  6. Step 6: Final answer
    x = 371.47

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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.