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Finding the Fourth Proportional to 418.45, 576.12 and 363.17

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Solution

The fourth proportional to 418.45, 576.12 and 363.17 is: 500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.45 : 576.12 = 363.17 : x
  2. Step 2: Convert to fraction form
    418.45/576.12 = 363.17/x
  3. Step 3: Cross multiply
    418.45x = 576.12 × 363.17
  4. Step 4: Simplify right side
    418.45x = 209,229.50
  5. Step 5: Solve for x
    x = 209,229.50/418.45
  6. Step 6: Final answer
    x = 500.01

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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.