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Finding the Fourth Proportional to 640.66, 884.51 and 419.98

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Solution

The fourth proportional to 640.66, 884.51 and 419.98 is: 579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.66 : 884.51 = 419.98 : x
  2. Step 2: Convert to fraction form
    640.66/884.51 = 419.98/x
  3. Step 3: Cross multiply
    640.66x = 884.51 × 419.98
  4. Step 4: Simplify right side
    640.66x = 371,476.51
  5. Step 5: Solve for x
    x = 371,476.51/640.66
  6. Step 6: Final answer
    x = 579.83

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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.