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Finding the Fourth Proportional to 358.89, 495.24 and 209.49

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Solution

The fourth proportional to 358.89, 495.24 and 209.49 is: 289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.89 : 495.24 = 209.49 : x
  2. Step 2: Convert to fraction form
    358.89/495.24 = 209.49/x
  3. Step 3: Cross multiply
    358.89x = 495.24 × 209.49
  4. Step 4: Simplify right side
    358.89x = 103,747.83
  5. Step 5: Solve for x
    x = 103,747.83/358.89
  6. Step 6: Final answer
    x = 289.08

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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.