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Finding the Fourth Proportional to 358.46, 494.67 and 209.09

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Solution

The fourth proportional to 358.46, 494.67 and 209.09 is: 288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.46 : 494.67 = 209.09 : x
  2. Step 2: Convert to fraction form
    358.46/494.67 = 209.09/x
  3. Step 3: Cross multiply
    358.46x = 494.67 × 209.09
  4. Step 4: Simplify right side
    358.46x = 103,430.55
  5. Step 5: Solve for x
    x = 103,430.55/358.46
  6. Step 6: Final answer
    x = 288.54

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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.