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Finding the Fourth Proportional to 653.99, 902.50 and 359.27

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Solution

The fourth proportional to 653.99, 902.50 and 359.27 is: 495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.99 : 902.50 = 359.27 : x
  2. Step 2: Convert to fraction form
    653.99/902.50 = 359.27/x
  3. Step 3: Cross multiply
    653.99x = 902.50 × 359.27
  4. Step 4: Simplify right side
    653.99x = 324,241.18
  5. Step 5: Solve for x
    x = 324,241.18/653.99
  6. Step 6: Final answer
    x = 495.79

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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.