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Finding the Fourth Proportional to 506.46, 698.98 and 367.04

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Solution

The fourth proportional to 506.46, 698.98 and 367.04 is: 506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.46 : 698.98 = 367.04 : x
  2. Step 2: Convert to fraction form
    506.46/698.98 = 367.04/x
  3. Step 3: Cross multiply
    506.46x = 698.98 × 367.04
  4. Step 4: Simplify right side
    506.46x = 256,553.62
  5. Step 5: Solve for x
    x = 256,553.62/506.46
  6. Step 6: Final answer
    x = 506.56

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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.