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Finding the Fourth Proportional to 354.27, 487.78 and 301.71

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Solution

The fourth proportional to 354.27, 487.78 and 301.71 is: 415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.27 : 487.78 = 301.71 : x
  2. Step 2: Convert to fraction form
    354.27/487.78 = 301.71/x
  3. Step 3: Cross multiply
    354.27x = 487.78 × 301.71
  4. Step 4: Simplify right side
    354.27x = 147,168.10
  5. Step 5: Solve for x
    x = 147,168.10/354.27
  6. Step 6: Final answer
    x = 415.41

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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.