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Finding the Fourth Proportional to 516.51, 774.16 and 362.21

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Solution

The fourth proportional to 516.51, 774.16 and 362.21 is: 542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.51 : 774.16 = 362.21 : x
  2. Step 2: Convert to fraction form
    516.51/774.16 = 362.21/x
  3. Step 3: Cross multiply
    516.51x = 774.16 × 362.21
  4. Step 4: Simplify right side
    516.51x = 280,403.72
  5. Step 5: Solve for x
    x = 280,403.72/516.51
  6. Step 6: Final answer
    x = 542.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.