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Finding the Fourth Proportional to 416.62, 575.01 and 261.28

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Solution

The fourth proportional to 416.62, 575.01 and 261.28 is: 360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.62 : 575.01 = 261.28 : x
  2. Step 2: Convert to fraction form
    416.62/575.01 = 261.28/x
  3. Step 3: Cross multiply
    416.62x = 575.01 × 261.28
  4. Step 4: Simplify right side
    416.62x = 150,238.61
  5. Step 5: Solve for x
    x = 150,238.61/416.62
  6. Step 6: Final answer
    x = 360.61

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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.