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Finding the Fourth Proportional to 418.97, 578.07 and 250.90

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Solution

The fourth proportional to 418.97, 578.07 and 250.90 is: 346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.97 : 578.07 = 250.90 : x
  2. Step 2: Convert to fraction form
    418.97/578.07 = 250.90/x
  3. Step 3: Cross multiply
    418.97x = 578.07 × 250.90
  4. Step 4: Simplify right side
    418.97x = 145,036.32
  5. Step 5: Solve for x
    x = 145,036.32/418.97
  6. Step 6: Final answer
    x = 346.17

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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.