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Finding the Fourth Proportional to 466.12, 641.78 and 422.92

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Solution

The fourth proportional to 466.12, 641.78 and 422.92 is: 582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.12 : 641.78 = 422.92 : x
  2. Step 2: Convert to fraction form
    466.12/641.78 = 422.92/x
  3. Step 3: Cross multiply
    466.12x = 641.78 × 422.92
  4. Step 4: Simplify right side
    466.12x = 271,421.60
  5. Step 5: Solve for x
    x = 271,421.60/466.12
  6. Step 6: Final answer
    x = 582.30

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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.