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Finding the Fourth Proportional to 334.88, 461.64 and 269.42

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Solution

The fourth proportional to 334.88, 461.64 and 269.42 is: 371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.88 : 461.64 = 269.42 : x
  2. Step 2: Convert to fraction form
    334.88/461.64 = 269.42/x
  3. Step 3: Cross multiply
    334.88x = 461.64 × 269.42
  4. Step 4: Simplify right side
    334.88x = 124,375.05
  5. Step 5: Solve for x
    x = 124,375.05/334.88
  6. Step 6: Final answer
    x = 371.40

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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.