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Finding the Fourth Proportional to 538.17, 746.62 and 518.73

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Solution

The fourth proportional to 538.17, 746.62 and 518.73 is: 719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.17 : 746.62 = 518.73 : x
  2. Step 2: Convert to fraction form
    538.17/746.62 = 518.73/x
  3. Step 3: Cross multiply
    538.17x = 746.62 × 518.73
  4. Step 4: Simplify right side
    538.17x = 387,294.19
  5. Step 5: Solve for x
    x = 387,294.19/538.17
  6. Step 6: Final answer
    x = 719.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.