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Finding the Fourth Proportional to 335.01, 462.17 and 224.55

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Solution

The fourth proportional to 335.01, 462.17 and 224.55 is: 309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.01 : 462.17 = 224.55 : x
  2. Step 2: Convert to fraction form
    335.01/462.17 = 224.55/x
  3. Step 3: Cross multiply
    335.01x = 462.17 × 224.55
  4. Step 4: Simplify right side
    335.01x = 103,779.15
  5. Step 5: Solve for x
    x = 103,779.15/335.01
  6. Step 6: Final answer
    x = 309.78

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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.