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Finding the Fourth Proportional to 679.74, 938.22 and 400.07

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Solution

The fourth proportional to 679.74, 938.22 and 400.07 is: 552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.74 : 938.22 = 400.07 : x
  2. Step 2: Convert to fraction form
    679.74/938.22 = 400.07/x
  3. Step 3: Cross multiply
    679.74x = 938.22 × 400.07
  4. Step 4: Simplify right side
    679.74x = 375,350.48
  5. Step 5: Solve for x
    x = 375,350.48/679.74
  6. Step 6: Final answer
    x = 552.20

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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.