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Finding the Fourth Proportional to 335.07, 462.31 and 204.08

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Solution

The fourth proportional to 335.07, 462.31 and 204.08 is: 281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.07 : 462.31 = 204.08 : x
  2. Step 2: Convert to fraction form
    335.07/462.31 = 204.08/x
  3. Step 3: Cross multiply
    335.07x = 462.31 × 204.08
  4. Step 4: Simplify right side
    335.07x = 94,345.40
  5. Step 5: Solve for x
    x = 94,345.40/335.07
  6. Step 6: Final answer
    x = 281.57

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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.