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Finding the Fourth Proportional to 358.88, 495.24 and 209.48

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Solution

The fourth proportional to 358.88, 495.24 and 209.48 is: 289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.88 : 495.24 = 209.48 : x
  2. Step 2: Convert to fraction form
    358.88/495.24 = 209.48/x
  3. Step 3: Cross multiply
    358.88x = 495.24 × 209.48
  4. Step 4: Simplify right side
    358.88x = 103,742.88
  5. Step 5: Solve for x
    x = 103,742.88/358.88
  6. Step 6: Final answer
    x = 289.07

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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.