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Finding the Fourth Proportional to 502.24, 693.22 and 305.89

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Solution

The fourth proportional to 502.24, 693.22 and 305.89 is: 422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.24 : 693.22 = 305.89 : x
  2. Step 2: Convert to fraction form
    502.24/693.22 = 305.89/x
  3. Step 3: Cross multiply
    502.24x = 693.22 × 305.89
  4. Step 4: Simplify right side
    502.24x = 212,049.07
  5. Step 5: Solve for x
    x = 212,049.07/502.24
  6. Step 6: Final answer
    x = 422.21

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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.