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Finding the Fourth Proportional to 416.30, 574.76 and 269.15

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Solution

The fourth proportional to 416.30, 574.76 and 269.15 is: 371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.30 : 574.76 = 269.15 : x
  2. Step 2: Convert to fraction form
    416.30/574.76 = 269.15/x
  3. Step 3: Cross multiply
    416.30x = 574.76 × 269.15
  4. Step 4: Simplify right side
    416.30x = 154,694.45
  5. Step 5: Solve for x
    x = 154,694.45/416.30
  6. Step 6: Final answer
    x = 371.60

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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.