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Finding the Fourth Proportional to 502.35, 693.11 and 305.73

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Solution

The fourth proportional to 502.35, 693.11 and 305.73 is: 421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.35 : 693.11 = 305.73 : x
  2. Step 2: Convert to fraction form
    502.35/693.11 = 305.73/x
  3. Step 3: Cross multiply
    502.35x = 693.11 × 305.73
  4. Step 4: Simplify right side
    502.35x = 211,902.69
  5. Step 5: Solve for x
    x = 211,902.69/502.35
  6. Step 6: Final answer
    x = 421.82

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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.