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Finding the Fourth Proportional to 512.02, 701.30 and 487.36

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Solution

The fourth proportional to 512.02, 701.30 and 487.36 is: 667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 701.30 = 487.36 : x
  2. Step 2: Convert to fraction form
    512.02/701.30 = 487.36/x
  3. Step 3: Cross multiply
    512.02x = 701.30 × 487.36
  4. Step 4: Simplify right side
    512.02x = 341,785.57
  5. Step 5: Solve for x
    x = 341,785.57/512.02
  6. Step 6: Final answer
    x = 667.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.