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Finding the Fourth Proportional to 322.96, 483.97 and 241.76

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Solution

The fourth proportional to 322.96, 483.97 and 241.76 is: 362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.96 : 483.97 = 241.76 : x
  2. Step 2: Convert to fraction form
    322.96/483.97 = 241.76/x
  3. Step 3: Cross multiply
    322.96x = 483.97 × 241.76
  4. Step 4: Simplify right side
    322.96x = 117,004.59
  5. Step 5: Solve for x
    x = 117,004.59/322.96
  6. Step 6: Final answer
    x = 362.29

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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.