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Finding the Fourth Proportional to 486.41, 729.05 and 242.44

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Solution

The fourth proportional to 486.41, 729.05 and 242.44 is: 363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.41 : 729.05 = 242.44 : x
  2. Step 2: Convert to fraction form
    486.41/729.05 = 242.44/x
  3. Step 3: Cross multiply
    486.41x = 729.05 × 242.44
  4. Step 4: Simplify right side
    486.41x = 176,747.85
  5. Step 5: Solve for x
    x = 176,747.85/486.41
  6. Step 6: Final answer
    x = 363.37

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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.