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Finding the Fourth Proportional to 683.35, 943.24 and 462.22

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Solution

The fourth proportional to 683.35, 943.24 and 462.22 is: 638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.35 : 943.24 = 462.22 : x
  2. Step 2: Convert to fraction form
    683.35/943.24 = 462.22/x
  3. Step 3: Cross multiply
    683.35x = 943.24 × 462.22
  4. Step 4: Simplify right side
    683.35x = 435,979.68
  5. Step 5: Solve for x
    x = 435,979.68/683.35
  6. Step 6: Final answer
    x = 638.01

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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.