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Finding the Fourth Proportional to 416.30, 574.29 and 269.06

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Solution

The fourth proportional to 416.30, 574.29 and 269.06 is: 371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.30 : 574.29 = 269.06 : x
  2. Step 2: Convert to fraction form
    416.30/574.29 = 269.06/x
  3. Step 3: Cross multiply
    416.30x = 574.29 × 269.06
  4. Step 4: Simplify right side
    416.30x = 154,518.47
  5. Step 5: Solve for x
    x = 154,518.47/416.30
  6. Step 6: Final answer
    x = 371.17

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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.