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Finding the Fourth Proportional to 640.88, 883.85 and 419.91

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Solution

The fourth proportional to 640.88, 883.85 and 419.91 is: 579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.88 : 883.85 = 419.91 : x
  2. Step 2: Convert to fraction form
    640.88/883.85 = 419.91/x
  3. Step 3: Cross multiply
    640.88x = 883.85 × 419.91
  4. Step 4: Simplify right side
    640.88x = 371,137.45
  5. Step 5: Solve for x
    x = 371,137.45/640.88
  6. Step 6: Final answer
    x = 579.11

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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.