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Finding the Fourth Proportional to 294.49, 406.28 and 205.95

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Solution

The fourth proportional to 294.49, 406.28 and 205.95 is: 284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.49 : 406.28 = 205.95 : x
  2. Step 2: Convert to fraction form
    294.49/406.28 = 205.95/x
  3. Step 3: Cross multiply
    294.49x = 406.28 × 205.95
  4. Step 4: Simplify right side
    294.49x = 83,673.12
  5. Step 5: Solve for x
    x = 83,673.12/294.49
  6. Step 6: Final answer
    x = 284.13

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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.