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Finding the Fourth Proportional to 358.67, 494.97 and 234.54

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Solution

The fourth proportional to 358.67, 494.97 and 234.54 is: 323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.67 : 494.97 = 234.54 : x
  2. Step 2: Convert to fraction form
    358.67/494.97 = 234.54/x
  3. Step 3: Cross multiply
    358.67x = 494.97 × 234.54
  4. Step 4: Simplify right side
    358.67x = 116,089.09
  5. Step 5: Solve for x
    x = 116,089.09/358.67
  6. Step 6: Final answer
    x = 323.67

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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.