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Finding the Fourth Proportional to 683.11, 942.51 and 447.13

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Solution

The fourth proportional to 683.11, 942.51 and 447.13 is: 616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.11 : 942.51 = 447.13 : x
  2. Step 2: Convert to fraction form
    683.11/942.51 = 447.13/x
  3. Step 3: Cross multiply
    683.11x = 942.51 × 447.13
  4. Step 4: Simplify right side
    683.11x = 421,424.50
  5. Step 5: Solve for x
    x = 421,424.50/683.11
  6. Step 6: Final answer
    x = 616.92

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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.