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Finding the Fourth Proportional to 516.97, 713.36 and 307.15

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Solution

The fourth proportional to 516.97, 713.36 and 307.15 is: 423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.97 : 713.36 = 307.15 : x
  2. Step 2: Convert to fraction form
    516.97/713.36 = 307.15/x
  3. Step 3: Cross multiply
    516.97x = 713.36 × 307.15
  4. Step 4: Simplify right side
    516.97x = 219,106.99
  5. Step 5: Solve for x
    x = 219,106.99/516.97
  6. Step 6: Final answer
    x = 423.83

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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.