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Finding the Fourth Proportional to 335.04, 462.24 and 204.08

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Solution

The fourth proportional to 335.04, 462.24 and 204.08 is: 281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.04 : 462.24 = 204.08 : x
  2. Step 2: Convert to fraction form
    335.04/462.24 = 204.08/x
  3. Step 3: Cross multiply
    335.04x = 462.24 × 204.08
  4. Step 4: Simplify right side
    335.04x = 94,333.94
  5. Step 5: Solve for x
    x = 94,333.94/335.04
  6. Step 6: Final answer
    x = 281.56

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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.