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Finding the Fourth Proportional to 517.38, 779.61 and 428.04

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Solution

The fourth proportional to 517.38, 779.61 and 428.04 is: 644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.38 : 779.61 = 428.04 : x
  2. Step 2: Convert to fraction form
    517.38/779.61 = 428.04/x
  3. Step 3: Cross multiply
    517.38x = 779.61 × 428.04
  4. Step 4: Simplify right side
    517.38x = 333,704.26
  5. Step 5: Solve for x
    x = 333,704.26/517.38
  6. Step 6: Final answer
    x = 644.99

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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.