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Finding the Fourth Proportional to 502.83, 693.77 and 306.21

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Solution

The fourth proportional to 502.83, 693.77 and 306.21 is: 422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.83 : 693.77 = 306.21 : x
  2. Step 2: Convert to fraction form
    502.83/693.77 = 306.21/x
  3. Step 3: Cross multiply
    502.83x = 693.77 × 306.21
  4. Step 4: Simplify right side
    502.83x = 212,435.84
  5. Step 5: Solve for x
    x = 212,435.84/502.83
  6. Step 6: Final answer
    x = 422.48

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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.