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Finding the Fourth Proportional to 334.72, 462.40 and 293.44

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Solution

The fourth proportional to 334.72, 462.40 and 293.44 is: 405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.72 : 462.40 = 293.44 : x
  2. Step 2: Convert to fraction form
    334.72/462.40 = 293.44/x
  3. Step 3: Cross multiply
    334.72x = 462.40 × 293.44
  4. Step 4: Simplify right side
    334.72x = 135,686.66
  5. Step 5: Solve for x
    x = 135,686.66/334.72
  6. Step 6: Final answer
    x = 405.37

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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.