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Finding the Fourth Proportional to 512.73, 707.90 and 338.18

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Solution

The fourth proportional to 512.73, 707.90 and 338.18 is: 466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 707.90 = 338.18 : x
  2. Step 2: Convert to fraction form
    512.73/707.90 = 338.18/x
  3. Step 3: Cross multiply
    512.73x = 707.90 × 338.18
  4. Step 4: Simplify right side
    512.73x = 239,392.39
  5. Step 5: Solve for x
    x = 239,392.39/512.73
  6. Step 6: Final answer
    x = 466.90

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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.