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Finding the Fourth Proportional to 650.51, 975.42 and 239.57

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Solution

The fourth proportional to 650.51, 975.42 and 239.57 is: 359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.51 : 975.42 = 239.57 : x
  2. Step 2: Convert to fraction form
    650.51/975.42 = 239.57/x
  3. Step 3: Cross multiply
    650.51x = 975.42 × 239.57
  4. Step 4: Simplify right side
    650.51x = 233,676.49
  5. Step 5: Solve for x
    x = 233,676.49/650.51
  6. Step 6: Final answer
    x = 359.22

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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.