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Finding the Fourth Proportional to 418.94, 578.47 and 261.75

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Solution

The fourth proportional to 418.94, 578.47 and 261.75 is: 361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.94 : 578.47 = 261.75 : x
  2. Step 2: Convert to fraction form
    418.94/578.47 = 261.75/x
  3. Step 3: Cross multiply
    418.94x = 578.47 × 261.75
  4. Step 4: Simplify right side
    418.94x = 151,414.52
  5. Step 5: Solve for x
    x = 151,414.52/418.94
  6. Step 6: Final answer
    x = 361.43

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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.