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Finding the Fourth Proportional to 422.98, 584.29 and 318.86

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Solution

The fourth proportional to 422.98, 584.29 and 318.86 is: 440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.98 : 584.29 = 318.86 : x
  2. Step 2: Convert to fraction form
    422.98/584.29 = 318.86/x
  3. Step 3: Cross multiply
    422.98x = 584.29 × 318.86
  4. Step 4: Simplify right side
    422.98x = 186,306.71
  5. Step 5: Solve for x
    x = 186,306.71/422.98
  6. Step 6: Final answer
    x = 440.46

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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.