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Finding the Fourth Proportional to 683.96, 944.14 and 474.82

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Solution

The fourth proportional to 683.96, 944.14 and 474.82 is: 655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.96 : 944.14 = 474.82 : x
  2. Step 2: Convert to fraction form
    683.96/944.14 = 474.82/x
  3. Step 3: Cross multiply
    683.96x = 944.14 × 474.82
  4. Step 4: Simplify right side
    683.96x = 448,293.01
  5. Step 5: Solve for x
    x = 448,293.01/683.96
  6. Step 6: Final answer
    x = 655.44

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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.