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Finding the Fourth Proportional to 308.70, 425.61 and 256.05

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Solution

The fourth proportional to 308.70, 425.61 and 256.05 is: 353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.70 : 425.61 = 256.05 : x
  2. Step 2: Convert to fraction form
    308.70/425.61 = 256.05/x
  3. Step 3: Cross multiply
    308.70x = 425.61 × 256.05
  4. Step 4: Simplify right side
    308.70x = 108,977.44
  5. Step 5: Solve for x
    x = 108,977.44/308.70
  6. Step 6: Final answer
    x = 353.02

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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.