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Finding the Fourth Proportional to 640.32, 883.97 and 419.61

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Solution

The fourth proportional to 640.32, 883.97 and 419.61 is: 579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.32 : 883.97 = 419.61 : x
  2. Step 2: Convert to fraction form
    640.32/883.97 = 419.61/x
  3. Step 3: Cross multiply
    640.32x = 883.97 × 419.61
  4. Step 4: Simplify right side
    640.32x = 370,920.55
  5. Step 5: Solve for x
    x = 370,920.55/640.32
  6. Step 6: Final answer
    x = 579.27

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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.