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Finding the Fourth Proportional to 654.12, 902.63 and 359.38

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Solution

The fourth proportional to 654.12, 902.63 and 359.38 is: 495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.12 : 902.63 = 359.38 : x
  2. Step 2: Convert to fraction form
    654.12/902.63 = 359.38/x
  3. Step 3: Cross multiply
    654.12x = 902.63 × 359.38
  4. Step 4: Simplify right side
    654.12x = 324,387.17
  5. Step 5: Solve for x
    x = 324,387.17/654.12
  6. Step 6: Final answer
    x = 495.91

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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.