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Finding the Fourth Proportional to 650.16, 974.44 and 303.03

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Solution

The fourth proportional to 650.16, 974.44 and 303.03 is: 454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.16 : 974.44 = 303.03 : x
  2. Step 2: Convert to fraction form
    650.16/974.44 = 303.03/x
  3. Step 3: Cross multiply
    650.16x = 974.44 × 303.03
  4. Step 4: Simplify right side
    650.16x = 295,284.93
  5. Step 5: Solve for x
    x = 295,284.93/650.16
  6. Step 6: Final answer
    x = 454.17

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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.