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Finding the Fourth Proportional to 309.47, 462.87 and 227.25

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Solution

The fourth proportional to 309.47, 462.87 and 227.25 is: 339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.47 : 462.87 = 227.25 : x
  2. Step 2: Convert to fraction form
    309.47/462.87 = 227.25/x
  3. Step 3: Cross multiply
    309.47x = 462.87 × 227.25
  4. Step 4: Simplify right side
    309.47x = 105,187.21
  5. Step 5: Solve for x
    x = 105,187.21/309.47
  6. Step 6: Final answer
    x = 339.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.