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Finding the Fourth Proportional to 512.95, 707.41 and 338.47

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Solution

The fourth proportional to 512.95, 707.41 and 338.47 is: 466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.95 : 707.41 = 338.47 : x
  2. Step 2: Convert to fraction form
    512.95/707.41 = 338.47/x
  3. Step 3: Cross multiply
    512.95x = 707.41 × 338.47
  4. Step 4: Simplify right side
    512.95x = 239,437.06
  5. Step 5: Solve for x
    x = 239,437.06/512.95
  6. Step 6: Final answer
    x = 466.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.