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Finding the Fourth Proportional to 416.67, 574.92 and 306.24

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Solution

The fourth proportional to 416.67, 574.92 and 306.24 is: 422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.67 : 574.92 = 306.24 : x
  2. Step 2: Convert to fraction form
    416.67/574.92 = 306.24/x
  3. Step 3: Cross multiply
    416.67x = 574.92 × 306.24
  4. Step 4: Simplify right side
    416.67x = 176,063.50
  5. Step 5: Solve for x
    x = 176,063.50/416.67
  6. Step 6: Final answer
    x = 422.55

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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.