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Finding the Fourth Proportional to 679.89, 938.12 and 400.04

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Solution

The fourth proportional to 679.89, 938.12 and 400.04 is: 551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.89 : 938.12 = 400.04 : x
  2. Step 2: Convert to fraction form
    679.89/938.12 = 400.04/x
  3. Step 3: Cross multiply
    679.89x = 938.12 × 400.04
  4. Step 4: Simplify right side
    679.89x = 375,278.83
  5. Step 5: Solve for x
    x = 375,278.83/679.89
  6. Step 6: Final answer
    x = 551.97

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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.