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Finding the Fourth Proportional to 380.87, 525.83 and 241.11

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Solution

The fourth proportional to 380.87, 525.83 and 241.11 is: 332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.87 : 525.83 = 241.11 : x
  2. Step 2: Convert to fraction form
    380.87/525.83 = 241.11/x
  3. Step 3: Cross multiply
    380.87x = 525.83 × 241.11
  4. Step 4: Simplify right side
    380.87x = 126,781.67
  5. Step 5: Solve for x
    x = 126,781.67/380.87
  6. Step 6: Final answer
    x = 332.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.