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Finding the Fourth Proportional to 309.34, 426.90 and 294.76

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Solution

The fourth proportional to 309.34, 426.90 and 294.76 is: 406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.34 : 426.90 = 294.76 : x
  2. Step 2: Convert to fraction form
    309.34/426.90 = 294.76/x
  3. Step 3: Cross multiply
    309.34x = 426.90 × 294.76
  4. Step 4: Simplify right side
    309.34x = 125,833.04
  5. Step 5: Solve for x
    x = 125,833.04/309.34
  6. Step 6: Final answer
    x = 406.78

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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.