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Finding the Fourth Proportional to 517.06, 712.11 and 376.93

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Solution

The fourth proportional to 517.06, 712.11 and 376.93 is: 519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.06 : 712.11 = 376.93 : x
  2. Step 2: Convert to fraction form
    517.06/712.11 = 376.93/x
  3. Step 3: Cross multiply
    517.06x = 712.11 × 376.93
  4. Step 4: Simplify right side
    517.06x = 268,415.62
  5. Step 5: Solve for x
    x = 268,415.62/517.06
  6. Step 6: Final answer
    x = 519.12

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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.