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Finding the Fourth Proportional to 502.25, 693.09 and 305.73

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Solution

The fourth proportional to 502.25, 693.09 and 305.73 is: 421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.25 : 693.09 = 305.73 : x
  2. Step 2: Convert to fraction form
    502.25/693.09 = 305.73/x
  3. Step 3: Cross multiply
    502.25x = 693.09 × 305.73
  4. Step 4: Simplify right side
    502.25x = 211,898.41
  5. Step 5: Solve for x
    x = 211,898.41/502.25
  6. Step 6: Final answer
    x = 421.90

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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.