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Finding the Fourth Proportional to 308.80, 425.72 and 299.24

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Solution

The fourth proportional to 308.80, 425.72 and 299.24 is: 412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.80 : 425.72 = 299.24 : x
  2. Step 2: Convert to fraction form
    308.80/425.72 = 299.24/x
  3. Step 3: Cross multiply
    308.80x = 425.72 × 299.24
  4. Step 4: Simplify right side
    308.80x = 127,392.45
  5. Step 5: Solve for x
    x = 127,392.45/308.80
  6. Step 6: Final answer
    x = 412.55

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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.