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Finding the Fourth Proportional to 650.16, 975.41 and 233.73

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Solution

The fourth proportional to 650.16, 975.41 and 233.73 is: 350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.16 : 975.41 = 233.73 : x
  2. Step 2: Convert to fraction form
    650.16/975.41 = 233.73/x
  3. Step 3: Cross multiply
    650.16x = 975.41 × 233.73
  4. Step 4: Simplify right side
    650.16x = 227,985.77
  5. Step 5: Solve for x
    x = 227,985.77/650.16
  6. Step 6: Final answer
    x = 350.66

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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.