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Finding the Fourth Proportional to 516.51, 713.48 and 492.21

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Solution

The fourth proportional to 516.51, 713.48 and 492.21 is: 679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.51 : 713.48 = 492.21 : x
  2. Step 2: Convert to fraction form
    516.51/713.48 = 492.21/x
  3. Step 3: Cross multiply
    516.51x = 713.48 × 492.21
  4. Step 4: Simplify right side
    516.51x = 351,179.53
  5. Step 5: Solve for x
    x = 351,179.53/516.51
  6. Step 6: Final answer
    x = 679.91

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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.