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Finding the Fourth Proportional to 512.06, 766.60 and 463.42

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Solution

The fourth proportional to 512.06, 766.60 and 463.42 is: 693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.06 : 766.60 = 463.42 : x
  2. Step 2: Convert to fraction form
    512.06/766.60 = 463.42/x
  3. Step 3: Cross multiply
    512.06x = 766.60 × 463.42
  4. Step 4: Simplify right side
    512.06x = 355,257.77
  5. Step 5: Solve for x
    x = 355,257.77/512.06
  6. Step 6: Final answer
    x = 693.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.