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Finding the Fourth Proportional to 422.88, 582.57 and 291.66

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Solution

The fourth proportional to 422.88, 582.57 and 291.66 is: 401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.88 : 582.57 = 291.66 : x
  2. Step 2: Convert to fraction form
    422.88/582.57 = 291.66/x
  3. Step 3: Cross multiply
    422.88x = 582.57 × 291.66
  4. Step 4: Simplify right side
    422.88x = 169,912.37
  5. Step 5: Solve for x
    x = 169,912.37/422.88
  6. Step 6: Final answer
    x = 401.80

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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.