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Finding the Fourth Proportional to 297.21, 410.07 and 241.86

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Solution

The fourth proportional to 297.21, 410.07 and 241.86 is: 333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.21 : 410.07 = 241.86 : x
  2. Step 2: Convert to fraction form
    297.21/410.07 = 241.86/x
  3. Step 3: Cross multiply
    297.21x = 410.07 × 241.86
  4. Step 4: Simplify right side
    297.21x = 99,179.53
  5. Step 5: Solve for x
    x = 99,179.53/297.21
  6. Step 6: Final answer
    x = 333.70

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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.