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Finding the Fourth Proportional to 334.87, 462.31 and 261.02

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Solution

The fourth proportional to 334.87, 462.31 and 261.02 is: 360.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.87 : 462.31 = 261.02 : x
  2. Step 2: Convert to fraction form
    334.87/462.31 = 261.02/x
  3. Step 3: Cross multiply
    334.87x = 462.31 × 261.02
  4. Step 4: Simplify right side
    334.87x = 120,672.66
  5. Step 5: Solve for x
    x = 120,672.66/334.87
  6. Step 6: Final answer
    x = 360.36

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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.