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Finding the Fourth Proportional to 654, 902.54 and 359.27

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Solution

The fourth proportional to 654, 902.54 and 359.27 is: 495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    654 : 902.54 = 359.27 : x
  2. Step 2: Convert to fraction form
    654/902.54 = 359.27/x
  3. Step 3: Cross multiply
    654x = 902.54 × 359.27
  4. Step 4: Simplify right side
    654x = 324,256.01
  5. Step 5: Solve for x
    x = 324,256.01/654
  6. Step 6: Final answer
    x = 495.80

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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.