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Finding the Fourth Proportional to 654.24, 902.91 and 359.57

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Solution

The fourth proportional to 654.24, 902.91 and 359.57 is: 496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.24 : 902.91 = 359.57 : x
  2. Step 2: Convert to fraction form
    654.24/902.91 = 359.57/x
  3. Step 3: Cross multiply
    654.24x = 902.91 × 359.57
  4. Step 4: Simplify right side
    654.24x = 324,659.35
  5. Step 5: Solve for x
    x = 324,659.35/654.24
  6. Step 6: Final answer
    x = 496.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.