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Finding the Fourth Proportional to 837.52, 1,255.32 and 324.24

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Solution

The fourth proportional to 837.52, 1,255.32 and 324.24 is: 485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.52 : 1,255.32 = 324.24 : x
  2. Step 2: Convert to fraction form
    837.52/1,255.32 = 324.24/x
  3. Step 3: Cross multiply
    837.52x = 1,255.32 × 324.24
  4. Step 4: Simplify right side
    837.52x = 407,024.96
  5. Step 5: Solve for x
    x = 407,024.96/837.52
  6. Step 6: Final answer
    x = 485.99

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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.