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Finding the Fourth Proportional to 422.31, 582.90 and 247.77

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Solution

The fourth proportional to 422.31, 582.90 and 247.77 is: 341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.31 : 582.90 = 247.77 : x
  2. Step 2: Convert to fraction form
    422.31/582.90 = 247.77/x
  3. Step 3: Cross multiply
    422.31x = 582.90 × 247.77
  4. Step 4: Simplify right side
    422.31x = 144,425.13
  5. Step 5: Solve for x
    x = 144,425.13/422.31
  6. Step 6: Final answer
    x = 341.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.