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Finding the Fourth Proportional to 729.14, 1,093.58 and 235.56

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Solution

The fourth proportional to 729.14, 1,093.58 and 235.56 is: 353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.14 : 1,093.58 = 235.56 : x
  2. Step 2: Convert to fraction form
    729.14/1,093.58 = 235.56/x
  3. Step 3: Cross multiply
    729.14x = 1,093.58 × 235.56
  4. Step 4: Simplify right side
    729.14x = 257,598.43
  5. Step 5: Solve for x
    x = 257,598.43/729.14
  6. Step 6: Final answer
    x = 353.29

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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.