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Finding the Fourth Proportional to 620.38, 935.17 and 513.46

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Solution

The fourth proportional to 620.38, 935.17 and 513.46 is: 774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.38 : 935.17 = 513.46 : x
  2. Step 2: Convert to fraction form
    620.38/935.17 = 513.46/x
  3. Step 3: Cross multiply
    620.38x = 935.17 × 513.46
  4. Step 4: Simplify right side
    620.38x = 480,172.39
  5. Step 5: Solve for x
    x = 480,172.39/620.38
  6. Step 6: Final answer
    x = 774.00

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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.