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Finding the Fourth Proportional to 679.81, 938.34 and 400.06

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Solution

The fourth proportional to 679.81, 938.34 and 400.06 is: 552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.81 : 938.34 = 400.06 : x
  2. Step 2: Convert to fraction form
    679.81/938.34 = 400.06/x
  3. Step 3: Cross multiply
    679.81x = 938.34 × 400.06
  4. Step 4: Simplify right side
    679.81x = 375,392.30
  5. Step 5: Solve for x
    x = 375,392.30/679.81
  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.