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Finding the Fourth Proportional to 683.52, 1,025.38 and 336.80

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Solution

The fourth proportional to 683.52, 1,025.38 and 336.80 is: 505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.52 : 1,025.38 = 336.80 : x
  2. Step 2: Convert to fraction form
    683.52/1,025.38 = 336.80/x
  3. Step 3: Cross multiply
    683.52x = 1,025.38 × 336.80
  4. Step 4: Simplify right side
    683.52x = 345,347.98
  5. Step 5: Solve for x
    x = 345,347.98/683.52
  6. Step 6: Final answer
    x = 505.25

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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.