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Finding the Fourth Proportional to 654.55, 903.22 and 359.81

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Solution

The fourth proportional to 654.55, 903.22 and 359.81 is: 496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.55 : 903.22 = 359.81 : x
  2. Step 2: Convert to fraction form
    654.55/903.22 = 359.81/x
  3. Step 3: Cross multiply
    654.55x = 903.22 × 359.81
  4. Step 4: Simplify right side
    654.55x = 324,985.56
  5. Step 5: Solve for x
    x = 324,985.56/654.55
  6. Step 6: Final answer
    x = 496.50

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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.