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Finding the Fourth Proportional to 416.65, 574.91 and 292.27

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Solution

The fourth proportional to 416.65, 574.91 and 292.27 is: 403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.65 : 574.91 = 292.27 : x
  2. Step 2: Convert to fraction form
    416.65/574.91 = 292.27/x
  3. Step 3: Cross multiply
    416.65x = 574.91 × 292.27
  4. Step 4: Simplify right side
    416.65x = 168,028.95
  5. Step 5: Solve for x
    x = 168,028.95/416.65
  6. Step 6: Final answer
    x = 403.29

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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.