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Finding the Fourth Proportional to 308.72, 425.61 and 256.47

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Solution

The fourth proportional to 308.72, 425.61 and 256.47 is: 353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.72 : 425.61 = 256.47 : x
  2. Step 2: Convert to fraction form
    308.72/425.61 = 256.47/x
  3. Step 3: Cross multiply
    308.72x = 425.61 × 256.47
  4. Step 4: Simplify right side
    308.72x = 109,156.20
  5. Step 5: Solve for x
    x = 109,156.20/308.72
  6. Step 6: Final answer
    x = 353.58

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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.