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Finding the Fourth Proportional to 358.06, 493.92 and 226.84

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Solution

The fourth proportional to 358.06, 493.92 and 226.84 is: 312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.06 : 493.92 = 226.84 : x
  2. Step 2: Convert to fraction form
    358.06/493.92 = 226.84/x
  3. Step 3: Cross multiply
    358.06x = 493.92 × 226.84
  4. Step 4: Simplify right side
    358.06x = 112,040.81
  5. Step 5: Solve for x
    x = 112,040.81/358.06
  6. Step 6: Final answer
    x = 312.91

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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.