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Finding the Fourth Proportional to 363.90, 502.83 and 271.02

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Solution

The fourth proportional to 363.90, 502.83 and 271.02 is: 374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.90 : 502.83 = 271.02 : x
  2. Step 2: Convert to fraction form
    363.90/502.83 = 271.02/x
  3. Step 3: Cross multiply
    363.90x = 502.83 × 271.02
  4. Step 4: Simplify right side
    363.90x = 136,276.99
  5. Step 5: Solve for x
    x = 136,276.99/363.90
  6. Step 6: Final answer
    x = 374.49

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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.