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Finding the Fourth Proportional to 654.59, 903.27 and 359.78

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Solution

The fourth proportional to 654.59, 903.27 and 359.78 is: 496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.59 : 903.27 = 359.78 : x
  2. Step 2: Convert to fraction form
    654.59/903.27 = 359.78/x
  3. Step 3: Cross multiply
    654.59x = 903.27 × 359.78
  4. Step 4: Simplify right side
    654.59x = 324,978.48
  5. Step 5: Solve for x
    x = 324,978.48/654.59
  6. Step 6: Final answer
    x = 496.46

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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.