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Finding the Fourth Proportional to 638.10, 879.05 and 519.75

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Solution

The fourth proportional to 638.10, 879.05 and 519.75 is: 716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.10 : 879.05 = 519.75 : x
  2. Step 2: Convert to fraction form
    638.10/879.05 = 519.75/x
  3. Step 3: Cross multiply
    638.10x = 879.05 × 519.75
  4. Step 4: Simplify right side
    638.10x = 456,883.64
  5. Step 5: Solve for x
    x = 456,883.64/638.10
  6. Step 6: Final answer
    x = 716.01

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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.