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Finding the Fourth Proportional to 683.34, 943.38 and 462.48

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Solution

The fourth proportional to 683.34, 943.38 and 462.48 is: 638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.34 : 943.38 = 462.48 : x
  2. Step 2: Convert to fraction form
    683.34/943.38 = 462.48/x
  3. Step 3: Cross multiply
    683.34x = 943.38 × 462.48
  4. Step 4: Simplify right side
    683.34x = 436,294.38
  5. Step 5: Solve for x
    x = 436,294.38/683.34
  6. Step 6: Final answer
    x = 638.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.