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Finding the Fourth Proportional to 650.37, 975.54 and 205.62

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Solution

The fourth proportional to 650.37, 975.54 and 205.62 is: 308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.37 : 975.54 = 205.62 : x
  2. Step 2: Convert to fraction form
    650.37/975.54 = 205.62/x
  3. Step 3: Cross multiply
    650.37x = 975.54 × 205.62
  4. Step 4: Simplify right side
    650.37x = 200,590.53
  5. Step 5: Solve for x
    x = 200,590.53/650.37
  6. Step 6: Final answer
    x = 308.43

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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.