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Finding the Fourth Proportional to 335.81, 462.31 and 292.14

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Solution

The fourth proportional to 335.81, 462.31 and 292.14 is: 402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.81 : 462.31 = 292.14 : x
  2. Step 2: Convert to fraction form
    335.81/462.31 = 292.14/x
  3. Step 3: Cross multiply
    335.81x = 462.31 × 292.14
  4. Step 4: Simplify right side
    335.81x = 135,058.51
  5. Step 5: Solve for x
    x = 135,058.51/335.81
  6. Step 6: Final answer
    x = 402.18

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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.