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Finding the Fourth Proportional to 654.17, 902.77 and 359.47

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Solution

The fourth proportional to 654.17, 902.77 and 359.47 is: 496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.17 : 902.77 = 359.47 : x
  2. Step 2: Convert to fraction form
    654.17/902.77 = 359.47/x
  3. Step 3: Cross multiply
    654.17x = 902.77 × 359.47
  4. Step 4: Simplify right side
    654.17x = 324,512.42
  5. Step 5: Solve for x
    x = 324,512.42/654.17
  6. Step 6: Final answer
    x = 496.07

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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.