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Finding the Fourth Proportional to 653.98, 902.49 and 359.23

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Solution

The fourth proportional to 653.98, 902.49 and 359.23 is: 495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.98 : 902.49 = 359.23 : x
  2. Step 2: Convert to fraction form
    653.98/902.49 = 359.23/x
  3. Step 3: Cross multiply
    653.98x = 902.49 × 359.23
  4. Step 4: Simplify right side
    653.98x = 324,201.48
  5. Step 5: Solve for x
    x = 324,201.48/653.98
  6. Step 6: Final answer
    x = 495.74

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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.