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Finding the Fourth Proportional to 295.62, 406.80 and 245.94

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Solution

The fourth proportional to 295.62, 406.80 and 245.94 is: 338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.62 : 406.80 = 245.94 : x
  2. Step 2: Convert to fraction form
    295.62/406.80 = 245.94/x
  3. Step 3: Cross multiply
    295.62x = 406.80 × 245.94
  4. Step 4: Simplify right side
    295.62x = 100,048.39
  5. Step 5: Solve for x
    x = 100,048.39/295.62
  6. Step 6: Final answer
    x = 338.44

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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.