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Finding the Fourth Proportional to 416.84, 575.14 and 261.48

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Solution

The fourth proportional to 416.84, 575.14 and 261.48 is: 360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.84 : 575.14 = 261.48 : x
  2. Step 2: Convert to fraction form
    416.84/575.14 = 261.48/x
  3. Step 3: Cross multiply
    416.84x = 575.14 × 261.48
  4. Step 4: Simplify right side
    416.84x = 150,387.61
  5. Step 5: Solve for x
    x = 150,387.61/416.84
  6. Step 6: Final answer
    x = 360.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.