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Finding the Fourth Proportional to 502.46, 693.03 and 363.05

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Solution

The fourth proportional to 502.46, 693.03 and 363.05 is: 500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.46 : 693.03 = 363.05 : x
  2. Step 2: Convert to fraction form
    502.46/693.03 = 363.05/x
  3. Step 3: Cross multiply
    502.46x = 693.03 × 363.05
  4. Step 4: Simplify right side
    502.46x = 251,601.08
  5. Step 5: Solve for x
    x = 251,601.08/502.46
  6. Step 6: Final answer
    x = 500.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.