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Finding the Fourth Proportional to 650.11, 975.02 and 303.23

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Solution

The fourth proportional to 650.11, 975.02 and 303.23 is: 454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.11 : 975.02 = 303.23 : x
  2. Step 2: Convert to fraction form
    650.11/975.02 = 303.23/x
  3. Step 3: Cross multiply
    650.11x = 975.02 × 303.23
  4. Step 4: Simplify right side
    650.11x = 295,655.31
  5. Step 5: Solve for x
    x = 295,655.31/650.11
  6. Step 6: Final answer
    x = 454.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.