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Finding the Fourth Proportional to 646.92, 893.11 and 448.04

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Solution

The fourth proportional to 646.92, 893.11 and 448.04 is: 618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.92 : 893.11 = 448.04 : x
  2. Step 2: Convert to fraction form
    646.92/893.11 = 448.04/x
  3. Step 3: Cross multiply
    646.92x = 893.11 × 448.04
  4. Step 4: Simplify right side
    646.92x = 400,142.30
  5. Step 5: Solve for x
    x = 400,142.30/646.92
  6. Step 6: Final answer
    x = 618.54

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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.