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Finding the Fourth Proportional to 674.41, 930.51 and 517.20

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Solution

The fourth proportional to 674.41, 930.51 and 517.20 is: 713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.41 : 930.51 = 517.20 : x
  2. Step 2: Convert to fraction form
    674.41/930.51 = 517.20/x
  3. Step 3: Cross multiply
    674.41x = 930.51 × 517.20
  4. Step 4: Simplify right side
    674.41x = 481,259.77
  5. Step 5: Solve for x
    x = 481,259.77/674.41
  6. Step 6: Final answer
    x = 713.61

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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.