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Finding the Fourth Proportional to 418.97, 578.13 and 232.45

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Solution

The fourth proportional to 418.97, 578.13 and 232.45 is: 320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.97 : 578.13 = 232.45 : x
  2. Step 2: Convert to fraction form
    418.97/578.13 = 232.45/x
  3. Step 3: Cross multiply
    418.97x = 578.13 × 232.45
  4. Step 4: Simplify right side
    418.97x = 134,386.90
  5. Step 5: Solve for x
    x = 134,386.90/418.97
  6. Step 6: Final answer
    x = 320.76

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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.