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Finding the Fourth Proportional to 671.09, 925.69 and 422.20

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Solution

The fourth proportional to 671.09, 925.69 and 422.20 is: 582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.09 : 925.69 = 422.20 : x
  2. Step 2: Convert to fraction form
    671.09/925.69 = 422.20/x
  3. Step 3: Cross multiply
    671.09x = 925.69 × 422.20
  4. Step 4: Simplify right side
    671.09x = 390,824.21
  5. Step 5: Solve for x
    x = 390,824.21/671.09
  6. Step 6: Final answer
    x = 582.38

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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.