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Finding the Fourth Proportional to 694.22, 1,041.28 and 232.30

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Solution

The fourth proportional to 694.22, 1,041.28 and 232.30 is: 348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.22 : 1,041.28 = 232.30 : x
  2. Step 2: Convert to fraction form
    694.22/1,041.28 = 232.30/x
  3. Step 3: Cross multiply
    694.22x = 1,041.28 × 232.30
  4. Step 4: Simplify right side
    694.22x = 241,889.34
  5. Step 5: Solve for x
    x = 241,889.34/694.22
  6. Step 6: Final answer
    x = 348.43

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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.