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Finding the Fourth Proportional to 416.92, 574.74 and 292.20

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Solution

The fourth proportional to 416.92, 574.74 and 292.20 is: 402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.92 : 574.74 = 292.20 : x
  2. Step 2: Convert to fraction form
    416.92/574.74 = 292.20/x
  3. Step 3: Cross multiply
    416.92x = 574.74 × 292.20
  4. Step 4: Simplify right side
    416.92x = 167,939.03
  5. Step 5: Solve for x
    x = 167,939.03/416.92
  6. Step 6: Final answer
    x = 402.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.