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Finding the Fourth Proportional to 295.28, 406.79 and 246.06

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Solution

The fourth proportional to 295.28, 406.79 and 246.06 is: 338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.28 : 406.79 = 246.06 : x
  2. Step 2: Convert to fraction form
    295.28/406.79 = 246.06/x
  3. Step 3: Cross multiply
    295.28x = 406.79 × 246.06
  4. Step 4: Simplify right side
    295.28x = 100,093.52
  5. Step 5: Solve for x
    x = 100,093.52/295.28
  6. Step 6: Final answer
    x = 338.98

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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.