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Finding the Fourth Proportional to 487.22, 729.08 and 422.44

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Solution

The fourth proportional to 487.22, 729.08 and 422.44 is: 632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.22 : 729.08 = 422.44 : x
  2. Step 2: Convert to fraction form
    487.22/729.08 = 422.44/x
  3. Step 3: Cross multiply
    487.22x = 729.08 × 422.44
  4. Step 4: Simplify right side
    487.22x = 307,992.56
  5. Step 5: Solve for x
    x = 307,992.56/487.22
  6. Step 6: Final answer
    x = 632.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.