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Finding the Fourth Proportional to 517.25, 779.43 and 427.95

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Solution

The fourth proportional to 517.25, 779.43 and 427.95 is: 644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.25 : 779.43 = 427.95 : x
  2. Step 2: Convert to fraction form
    517.25/779.43 = 427.95/x
  3. Step 3: Cross multiply
    517.25x = 779.43 × 427.95
  4. Step 4: Simplify right side
    517.25x = 333,557.07
  5. Step 5: Solve for x
    x = 333,557.07/517.25
  6. Step 6: Final answer
    x = 644.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.