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Finding the Fourth Proportional to 502.26, 693.12 and 305.83

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Solution

The fourth proportional to 502.26, 693.12 and 305.83 is: 422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.26 : 693.12 = 305.83 : x
  2. Step 2: Convert to fraction form
    502.26/693.12 = 305.83/x
  3. Step 3: Cross multiply
    502.26x = 693.12 × 305.83
  4. Step 4: Simplify right side
    502.26x = 211,976.89
  5. Step 5: Solve for x
    x = 211,976.89/502.26
  6. Step 6: Final answer
    x = 422.05

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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.