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Finding the Fourth Proportional to 640.42, 884.09 and 416.45

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Solution

The fourth proportional to 640.42, 884.09 and 416.45 is: 574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.42 : 884.09 = 416.45 : x
  2. Step 2: Convert to fraction form
    640.42/884.09 = 416.45/x
  3. Step 3: Cross multiply
    640.42x = 884.09 × 416.45
  4. Step 4: Simplify right side
    640.42x = 368,179.41
  5. Step 5: Solve for x
    x = 368,179.41/640.42
  6. Step 6: Final answer
    x = 574.91

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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.