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Finding the Fourth Proportional to 653.92, 902.42 and 359.19

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Solution

The fourth proportional to 653.92, 902.42 and 359.19 is: 495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.92 : 902.42 = 359.19 : x
  2. Step 2: Convert to fraction form
    653.92/902.42 = 359.19/x
  3. Step 3: Cross multiply
    653.92x = 902.42 × 359.19
  4. Step 4: Simplify right side
    653.92x = 324,138.44
  5. Step 5: Solve for x
    x = 324,138.44/653.92
  6. Step 6: Final answer
    x = 495.69

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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.