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Finding the Fourth Proportional to 654.11, 902.64 and 359.35

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Solution

The fourth proportional to 654.11, 902.64 and 359.35 is: 495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.11 : 902.64 = 359.35 : x
  2. Step 2: Convert to fraction form
    654.11/902.64 = 359.35/x
  3. Step 3: Cross multiply
    654.11x = 902.64 × 359.35
  4. Step 4: Simplify right side
    654.11x = 324,366.16
  5. Step 5: Solve for x
    x = 324,366.16/654.11
  6. Step 6: Final answer
    x = 495.89

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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.