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Finding the Fourth Proportional to 688.38, 1,032.50 and 323.24

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Solution

The fourth proportional to 688.38, 1,032.50 and 323.24 is: 484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.38 : 1,032.50 = 323.24 : x
  2. Step 2: Convert to fraction form
    688.38/1,032.50 = 323.24/x
  3. Step 3: Cross multiply
    688.38x = 1,032.50 × 323.24
  4. Step 4: Simplify right side
    688.38x = 333,745.30
  5. Step 5: Solve for x
    x = 333,745.30/688.38
  6. Step 6: Final answer
    x = 484.83

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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.