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Finding the Fourth Proportional to 416.97, 575.15 and 261.63

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Solution

The fourth proportional to 416.97, 575.15 and 261.63 is: 360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.97 : 575.15 = 261.63 : x
  2. Step 2: Convert to fraction form
    416.97/575.15 = 261.63/x
  3. Step 3: Cross multiply
    416.97x = 575.15 × 261.63
  4. Step 4: Simplify right side
    416.97x = 150,475.19
  5. Step 5: Solve for x
    x = 150,475.19/416.97
  6. Step 6: Final answer
    x = 360.88

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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.