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Finding the Fourth Proportional to 654.24, 902.81 and 359.51

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Solution

The fourth proportional to 654.24, 902.81 and 359.51 is: 496.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.24 : 902.81 = 359.51 : x
  2. Step 2: Convert to fraction form
    654.24/902.81 = 359.51/x
  3. Step 3: Cross multiply
    654.24x = 902.81 × 359.51
  4. Step 4: Simplify right side
    654.24x = 324,565.61
  5. Step 5: Solve for x
    x = 324,565.61/654.24
  6. Step 6: Final answer
    x = 496.09

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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.