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Finding the Fourth Proportional to 650.32, 975.43 and 239.27

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Solution

The fourth proportional to 650.32, 975.43 and 239.27 is: 358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.32 : 975.43 = 239.27 : x
  2. Step 2: Convert to fraction form
    650.32/975.43 = 239.27/x
  3. Step 3: Cross multiply
    650.32x = 975.43 × 239.27
  4. Step 4: Simplify right side
    650.32x = 233,386.56
  5. Step 5: Solve for x
    x = 233,386.56/650.32
  6. Step 6: Final answer
    x = 358.88

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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.