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Finding the Fourth Proportional to 679.98, 938.23 and 400.24

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Solution

The fourth proportional to 679.98, 938.23 and 400.24 is: 552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.98 : 938.23 = 400.24 : x
  2. Step 2: Convert to fraction form
    679.98/938.23 = 400.24/x
  3. Step 3: Cross multiply
    679.98x = 938.23 × 400.24
  4. Step 4: Simplify right side
    679.98x = 375,517.18
  5. Step 5: Solve for x
    x = 375,517.18/679.98
  6. Step 6: Final answer
    x = 552.25

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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.