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Finding the Fourth Proportional to 653.94, 902.41 and 359.20

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Solution

The fourth proportional to 653.94, 902.41 and 359.20 is: 495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.94 : 902.41 = 359.20 : x
  2. Step 2: Convert to fraction form
    653.94/902.41 = 359.20/x
  3. Step 3: Cross multiply
    653.94x = 902.41 × 359.20
  4. Step 4: Simplify right side
    653.94x = 324,145.67
  5. Step 5: Solve for x
    x = 324,145.67/653.94
  6. Step 6: Final answer
    x = 495.68

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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.