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Finding the Fourth Proportional to 650.30, 975.78 and 303.78

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Solution

The fourth proportional to 650.30, 975.78 and 303.78 is: 455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.30 : 975.78 = 303.78 : x
  2. Step 2: Convert to fraction form
    650.30/975.78 = 303.78/x
  3. Step 3: Cross multiply
    650.30x = 975.78 × 303.78
  4. Step 4: Simplify right side
    650.30x = 296,422.45
  5. Step 5: Solve for x
    x = 296,422.45/650.30
  6. Step 6: Final answer
    x = 455.83

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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.