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Finding the Fourth Proportional to 654.09, 902.58 and 359.28

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Solution

The fourth proportional to 654.09, 902.58 and 359.28 is: 495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.09 : 902.58 = 359.28 : x
  2. Step 2: Convert to fraction form
    654.09/902.58 = 359.28/x
  3. Step 3: Cross multiply
    654.09x = 902.58 × 359.28
  4. Step 4: Simplify right side
    654.09x = 324,278.94
  5. Step 5: Solve for x
    x = 324,278.94/654.09
  6. Step 6: Final answer
    x = 495.77

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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.