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Finding the Fourth Proportional to 654.49, 903.19 and 359.77

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Solution

The fourth proportional to 654.49, 903.19 and 359.77 is: 496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.49 : 903.19 = 359.77 : x
  2. Step 2: Convert to fraction form
    654.49/903.19 = 359.77/x
  3. Step 3: Cross multiply
    654.49x = 903.19 × 359.77
  4. Step 4: Simplify right side
    654.49x = 324,940.67
  5. Step 5: Solve for x
    x = 324,940.67/654.49
  6. Step 6: Final answer
    x = 496.48

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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.