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Finding the Fourth Proportional to 416.53, 574.45 and 269.11

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Solution

The fourth proportional to 416.53, 574.45 and 269.11 is: 371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.53 : 574.45 = 269.11 : x
  2. Step 2: Convert to fraction form
    416.53/574.45 = 269.11/x
  3. Step 3: Cross multiply
    416.53x = 574.45 × 269.11
  4. Step 4: Simplify right side
    416.53x = 154,590.24
  5. Step 5: Solve for x
    x = 154,590.24/416.53
  6. Step 6: Final answer
    x = 371.14

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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.