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Finding the Fourth Proportional to 647.26, 892.73 and 448.42

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Solution

The fourth proportional to 647.26, 892.73 and 448.42 is: 618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.26 : 892.73 = 448.42 : x
  2. Step 2: Convert to fraction form
    647.26/892.73 = 448.42/x
  3. Step 3: Cross multiply
    647.26x = 892.73 × 448.42
  4. Step 4: Simplify right side
    647.26x = 400,317.99
  5. Step 5: Solve for x
    x = 400,317.99/647.26
  6. Step 6: Final answer
    x = 618.48

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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.