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Finding the Fourth Proportional to 639.92, 883.22 and 419.06

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Solution

The fourth proportional to 639.92, 883.22 and 419.06 is: 578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.92 : 883.22 = 419.06 : x
  2. Step 2: Convert to fraction form
    639.92/883.22 = 419.06/x
  3. Step 3: Cross multiply
    639.92x = 883.22 × 419.06
  4. Step 4: Simplify right side
    639.92x = 370,122.17
  5. Step 5: Solve for x
    x = 370,122.17/639.92
  6. Step 6: Final answer
    x = 578.39

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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.