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Finding the Fourth Proportional to 294.38, 405.82 and 224.32

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Solution

The fourth proportional to 294.38, 405.82 and 224.32 is: 309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.38 : 405.82 = 224.32 : x
  2. Step 2: Convert to fraction form
    294.38/405.82 = 224.32/x
  3. Step 3: Cross multiply
    294.38x = 405.82 × 224.32
  4. Step 4: Simplify right side
    294.38x = 91,033.54
  5. Step 5: Solve for x
    x = 91,033.54/294.38
  6. Step 6: Final answer
    x = 309.24

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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.