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Finding the Fourth Proportional to 665.42, 998.22 and 232.52

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Solution

The fourth proportional to 665.42, 998.22 and 232.52 is: 348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.42 : 998.22 = 232.52 : x
  2. Step 2: Convert to fraction form
    665.42/998.22 = 232.52/x
  3. Step 3: Cross multiply
    665.42x = 998.22 × 232.52
  4. Step 4: Simplify right side
    665.42x = 232,106.11
  5. Step 5: Solve for x
    x = 232,106.11/665.42
  6. Step 6: Final answer
    x = 348.81

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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.