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Finding the Fourth Proportional to 308.99, 426.23 and 256.23

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Solution

The fourth proportional to 308.99, 426.23 and 256.23 is: 353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.99 : 426.23 = 256.23 : x
  2. Step 2: Convert to fraction form
    308.99/426.23 = 256.23/x
  3. Step 3: Cross multiply
    308.99x = 426.23 × 256.23
  4. Step 4: Simplify right side
    308.99x = 109,209.50
  5. Step 5: Solve for x
    x = 109,209.50/308.99
  6. Step 6: Final answer
    x = 353.44

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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.