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Finding the Fourth Proportional to 322.98, 484.67 and 241.70

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Solution

The fourth proportional to 322.98, 484.67 and 241.70 is: 362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.98 : 484.67 = 241.70 : x
  2. Step 2: Convert to fraction form
    322.98/484.67 = 241.70/x
  3. Step 3: Cross multiply
    322.98x = 484.67 × 241.70
  4. Step 4: Simplify right side
    322.98x = 117,144.74
  5. Step 5: Solve for x
    x = 117,144.74/322.98
  6. Step 6: Final answer
    x = 362.70

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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.