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Finding the Fourth Proportional to 1,357, 2,035.52 and 331

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Solution

The fourth proportional to 1,357, 2,035.52 and 331 is: 496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357 : 2,035.52 = 331 : x
  2. Step 2: Convert to fraction form
    1,357/2,035.52 = 331/x
  3. Step 3: Cross multiply
    1,357x = 2,035.52 × 331
  4. Step 4: Simplify right side
    1,357x = 673,757.12
  5. Step 5: Solve for x
    x = 673,757.12/1,357
  6. Step 6: Final answer
    x = 496.50

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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.