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Finding the Fourth Proportional to 297.16, 410.09 and 241.79

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Solution

The fourth proportional to 297.16, 410.09 and 241.79 is: 333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.16 : 410.09 = 241.79 : x
  2. Step 2: Convert to fraction form
    297.16/410.09 = 241.79/x
  3. Step 3: Cross multiply
    297.16x = 410.09 × 241.79
  4. Step 4: Simplify right side
    297.16x = 99,152.40
  5. Step 5: Solve for x
    x = 99,152.40/297.16
  6. Step 6: Final answer
    x = 333.67

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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.