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Finding the Fourth Proportional to 654.33, 902.91 and 359.61

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Solution

The fourth proportional to 654.33, 902.91 and 359.61 is: 496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.33 : 902.91 = 359.61 : x
  2. Step 2: Convert to fraction form
    654.33/902.91 = 359.61/x
  3. Step 3: Cross multiply
    654.33x = 902.91 × 359.61
  4. Step 4: Simplify right side
    654.33x = 324,695.47
  5. Step 5: Solve for x
    x = 324,695.47/654.33
  6. Step 6: Final answer
    x = 496.23

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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.