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Finding the Fourth Proportional to 334.95, 462.29 and 224.39

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Solution

The fourth proportional to 334.95, 462.29 and 224.39 is: 309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.95 : 462.29 = 224.39 : x
  2. Step 2: Convert to fraction form
    334.95/462.29 = 224.39/x
  3. Step 3: Cross multiply
    334.95x = 462.29 × 224.39
  4. Step 4: Simplify right side
    334.95x = 103,729.82
  5. Step 5: Solve for x
    x = 103,729.82/334.95
  6. Step 6: Final answer
    x = 309.69

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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.