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Finding the Fourth Proportional to 654.35, 902.94 and 359.63

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Solution

The fourth proportional to 654.35, 902.94 and 359.63 is: 496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.35 : 902.94 = 359.63 : x
  2. Step 2: Convert to fraction form
    654.35/902.94 = 359.63/x
  3. Step 3: Cross multiply
    654.35x = 902.94 × 359.63
  4. Step 4: Simplify right side
    654.35x = 324,724.31
  5. Step 5: Solve for x
    x = 324,724.31/654.35
  6. Step 6: Final answer
    x = 496.25

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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.