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Finding the Fourth Proportional to 654.51, 903.23 and 359.78

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Solution

The fourth proportional to 654.51, 903.23 and 359.78 is: 496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.51 : 903.23 = 359.78 : x
  2. Step 2: Convert to fraction form
    654.51/903.23 = 359.78/x
  3. Step 3: Cross multiply
    654.51x = 903.23 × 359.78
  4. Step 4: Simplify right side
    654.51x = 324,961.15
  5. Step 5: Solve for x
    x = 324,961.15/654.51
  6. Step 6: Final answer
    x = 496.49

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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.