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Finding the Fourth Proportional to 307.92, 462.06 and 230.94

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Solution

The fourth proportional to 307.92, 462.06 and 230.94 is: 346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.92 : 462.06 = 230.94 : x
  2. Step 2: Convert to fraction form
    307.92/462.06 = 230.94/x
  3. Step 3: Cross multiply
    307.92x = 462.06 × 230.94
  4. Step 4: Simplify right side
    307.92x = 106,708.14
  5. Step 5: Solve for x
    x = 106,708.14/307.92
  6. Step 6: Final answer
    x = 346.55

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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.