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Finding the Fourth Proportional to 640.74, 884.35 and 416.96

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Solution

The fourth proportional to 640.74, 884.35 and 416.96 is: 575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.74 : 884.35 = 416.96 : x
  2. Step 2: Convert to fraction form
    640.74/884.35 = 416.96/x
  3. Step 3: Cross multiply
    640.74x = 884.35 × 416.96
  4. Step 4: Simplify right side
    640.74x = 368,738.58
  5. Step 5: Solve for x
    x = 368,738.58/640.74
  6. Step 6: Final answer
    x = 575.49

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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.