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Finding the Fourth Proportional to 422.82, 631.28 and 364.98

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Solution

The fourth proportional to 422.82, 631.28 and 364.98 is: 544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.82 : 631.28 = 364.98 : x
  2. Step 2: Convert to fraction form
    422.82/631.28 = 364.98/x
  3. Step 3: Cross multiply
    422.82x = 631.28 × 364.98
  4. Step 4: Simplify right side
    422.82x = 230,402.75
  5. Step 5: Solve for x
    x = 230,402.75/422.82
  6. Step 6: Final answer
    x = 544.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.