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Finding the Fourth Proportional to 416.25, 574.10 and 291.92

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Solution

The fourth proportional to 416.25, 574.10 and 291.92 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.25 : 574.10 = 291.92 : x
  2. Step 2: Convert to fraction form
    416.25/574.10 = 291.92/x
  3. Step 3: Cross multiply
    416.25x = 574.10 × 291.92
  4. Step 4: Simplify right side
    416.25x = 167,586.94
  5. Step 5: Solve for x
    x = 167,586.94/416.25
  6. Step 6: Final answer
    x = 402.61

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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.