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Finding the Fourth Proportional to 294.14, 404 and 276.07

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Solution

The fourth proportional to 294.14, 404 and 276.07 is: 379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.14 : 404 = 276.07 : x
  2. Step 2: Convert to fraction form
    294.14/404 = 276.07/x
  3. Step 3: Cross multiply
    294.14x = 404 × 276.07
  4. Step 4: Simplify right side
    294.14x = 111,532.28
  5. Step 5: Solve for x
    x = 111,532.28/294.14
  6. Step 6: Final answer
    x = 379.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.