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Finding the Fourth Proportional to 640.99, 884.56 and 357.41

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Solution

The fourth proportional to 640.99, 884.56 and 357.41 is: 493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.99 : 884.56 = 357.41 : x
  2. Step 2: Convert to fraction form
    640.99/884.56 = 357.41/x
  3. Step 3: Cross multiply
    640.99x = 884.56 × 357.41
  4. Step 4: Simplify right side
    640.99x = 316,150.59
  5. Step 5: Solve for x
    x = 316,150.59/640.99
  6. Step 6: Final answer
    x = 493.22

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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.