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Finding the Fourth Proportional to 363.04, 500.40 and 297.43

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Solution

The fourth proportional to 363.04, 500.40 and 297.43 is: 409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.04 : 500.40 = 297.43 : x
  2. Step 2: Convert to fraction form
    363.04/500.40 = 297.43/x
  3. Step 3: Cross multiply
    363.04x = 500.40 × 297.43
  4. Step 4: Simplify right side
    363.04x = 148,833.97
  5. Step 5: Solve for x
    x = 148,833.97/363.04
  6. Step 6: Final answer
    x = 409.97

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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.