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Finding the Fourth Proportional to 502.39, 694.78 and 440.12

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Solution

The fourth proportional to 502.39, 694.78 and 440.12 is: 608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.39 : 694.78 = 440.12 : x
  2. Step 2: Convert to fraction form
    502.39/694.78 = 440.12/x
  3. Step 3: Cross multiply
    502.39x = 694.78 × 440.12
  4. Step 4: Simplify right side
    502.39x = 305,786.57
  5. Step 5: Solve for x
    x = 305,786.57/502.39
  6. Step 6: Final answer
    x = 608.66

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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.