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Finding the Fourth Proportional to 631.65, 943.21 and 516.32

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Solution

The fourth proportional to 631.65, 943.21 and 516.32 is: 770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.65 : 943.21 = 516.32 : x
  2. Step 2: Convert to fraction form
    631.65/943.21 = 516.32/x
  3. Step 3: Cross multiply
    631.65x = 943.21 × 516.32
  4. Step 4: Simplify right side
    631.65x = 486,998.19
  5. Step 5: Solve for x
    x = 486,998.19/631.65
  6. Step 6: Final answer
    x = 770.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.