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Finding the Fourth Proportional to 640.18, 882.82 and 515.44

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Solution

The fourth proportional to 640.18, 882.82 and 515.44 is: 710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.18 : 882.82 = 515.44 : x
  2. Step 2: Convert to fraction form
    640.18/882.82 = 515.44/x
  3. Step 3: Cross multiply
    640.18x = 882.82 × 515.44
  4. Step 4: Simplify right side
    640.18x = 455,037.25
  5. Step 5: Solve for x
    x = 455,037.25/640.18
  6. Step 6: Final answer
    x = 710.80

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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.