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Finding the Fourth Proportional to 516.66, 712.69 and 339.73

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Solution

The fourth proportional to 516.66, 712.69 and 339.73 is: 468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.66 : 712.69 = 339.73 : x
  2. Step 2: Convert to fraction form
    516.66/712.69 = 339.73/x
  3. Step 3: Cross multiply
    516.66x = 712.69 × 339.73
  4. Step 4: Simplify right side
    516.66x = 242,122.17
  5. Step 5: Solve for x
    x = 242,122.17/516.66
  6. Step 6: Final answer
    x = 468.63

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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.