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Finding the Fourth Proportional to 683.42, 1,024.38 and 293.31

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Solution

The fourth proportional to 683.42, 1,024.38 and 293.31 is: 439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.42 : 1,024.38 = 293.31 : x
  2. Step 2: Convert to fraction form
    683.42/1,024.38 = 293.31/x
  3. Step 3: Cross multiply
    683.42x = 1,024.38 × 293.31
  4. Step 4: Simplify right side
    683.42x = 300,460.90
  5. Step 5: Solve for x
    x = 300,460.90/683.42
  6. Step 6: Final answer
    x = 439.65

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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.