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Finding the Fourth Proportional to 679.91, 938.47 and 400.24

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Solution

The fourth proportional to 679.91, 938.47 and 400.24 is: 552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.91 : 938.47 = 400.24 : x
  2. Step 2: Convert to fraction form
    679.91/938.47 = 400.24/x
  3. Step 3: Cross multiply
    679.91x = 938.47 × 400.24
  4. Step 4: Simplify right side
    679.91x = 375,613.31
  5. Step 5: Solve for x
    x = 375,613.31/679.91
  6. Step 6: Final answer
    x = 552.44

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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.