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Finding the Fourth Proportional to 416.77, 575.25 and 251.11

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Solution

The fourth proportional to 416.77, 575.25 and 251.11 is: 346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.77 : 575.25 = 251.11 : x
  2. Step 2: Convert to fraction form
    416.77/575.25 = 251.11/x
  3. Step 3: Cross multiply
    416.77x = 575.25 × 251.11
  4. Step 4: Simplify right side
    416.77x = 144,451.03
  5. Step 5: Solve for x
    x = 144,451.03/416.77
  6. Step 6: Final answer
    x = 346.60

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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.