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Finding the Fourth Proportional to 334.73, 461.60 and 256.04

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Solution

The fourth proportional to 334.73, 461.60 and 256.04 is: 353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.73 : 461.60 = 256.04 : x
  2. Step 2: Convert to fraction form
    334.73/461.60 = 256.04/x
  3. Step 3: Cross multiply
    334.73x = 461.60 × 256.04
  4. Step 4: Simplify right side
    334.73x = 118,185.87
  5. Step 5: Solve for x
    x = 118,185.87/334.73
  6. Step 6: Final answer
    x = 353.08

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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.