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Finding the Fourth Proportional to 502.35, 693.30 and 305.97

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Solution

The fourth proportional to 502.35, 693.30 and 305.97 is: 422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.35 : 693.30 = 305.97 : x
  2. Step 2: Convert to fraction form
    502.35/693.30 = 305.97/x
  3. Step 3: Cross multiply
    502.35x = 693.30 × 305.97
  4. Step 4: Simplify right side
    502.35x = 212,129.00
  5. Step 5: Solve for x
    x = 212,129.00/502.35
  6. Step 6: Final answer
    x = 422.27

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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.