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Finding the Fourth Proportional to 334.71, 461.52 and 241.29

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Solution

The fourth proportional to 334.71, 461.52 and 241.29 is: 332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.71 : 461.52 = 241.29 : x
  2. Step 2: Convert to fraction form
    334.71/461.52 = 241.29/x
  3. Step 3: Cross multiply
    334.71x = 461.52 × 241.29
  4. Step 4: Simplify right side
    334.71x = 111,360.16
  5. Step 5: Solve for x
    x = 111,360.16/334.71
  6. Step 6: Final answer
    x = 332.71

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Why These Related Problems?

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