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Finding the Fourth Proportional to 640.58, 883.97 and 360.80

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Solution

The fourth proportional to 640.58, 883.97 and 360.80 is: 497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.58 : 883.97 = 360.80 : x
  2. Step 2: Convert to fraction form
    640.58/883.97 = 360.80/x
  3. Step 3: Cross multiply
    640.58x = 883.97 × 360.80
  4. Step 4: Simplify right side
    640.58x = 318,936.38
  5. Step 5: Solve for x
    x = 318,936.38/640.58
  6. Step 6: Final answer
    x = 497.89

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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.