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Finding the Fourth Proportional to 662.43, 914.16 and 363.68

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Solution

The fourth proportional to 662.43, 914.16 and 363.68 is: 501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.43 : 914.16 = 363.68 : x
  2. Step 2: Convert to fraction form
    662.43/914.16 = 363.68/x
  3. Step 3: Cross multiply
    662.43x = 914.16 × 363.68
  4. Step 4: Simplify right side
    662.43x = 332,461.71
  5. Step 5: Solve for x
    x = 332,461.71/662.43
  6. Step 6: Final answer
    x = 501.88

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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.