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Finding the Fourth Proportional to 650.32, 975.93 and 239.44

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Solution

The fourth proportional to 650.32, 975.93 and 239.44 is: 359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.32 : 975.93 = 239.44 : x
  2. Step 2: Convert to fraction form
    650.32/975.93 = 239.44/x
  3. Step 3: Cross multiply
    650.32x = 975.93 × 239.44
  4. Step 4: Simplify right side
    650.32x = 233,676.68
  5. Step 5: Solve for x
    x = 233,676.68/650.32
  6. Step 6: Final answer
    x = 359.33

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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.