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Finding the Fourth Proportional to 334.68, 462.84 and 293.16

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Solution

The fourth proportional to 334.68, 462.84 and 293.16 is: 405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.68 : 462.84 = 293.16 : x
  2. Step 2: Convert to fraction form
    334.68/462.84 = 293.16/x
  3. Step 3: Cross multiply
    334.68x = 462.84 × 293.16
  4. Step 4: Simplify right side
    334.68x = 135,686.17
  5. Step 5: Solve for x
    x = 135,686.17/334.68
  6. Step 6: Final answer
    x = 405.43

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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.