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Finding the Fourth Proportional to 363.53, 502.03 and 310.77

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Solution

The fourth proportional to 363.53, 502.03 and 310.77 is: 429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.53 : 502.03 = 310.77 : x
  2. Step 2: Convert to fraction form
    363.53/502.03 = 310.77/x
  3. Step 3: Cross multiply
    363.53x = 502.03 × 310.77
  4. Step 4: Simplify right side
    363.53x = 156,015.86
  5. Step 5: Solve for x
    x = 156,015.86/363.53
  6. Step 6: Final answer
    x = 429.17

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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.