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Finding the Fourth Proportional to 516.11, 774.36 and 242.06

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Solution

The fourth proportional to 516.11, 774.36 and 242.06 is: 363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.11 : 774.36 = 242.06 : x
  2. Step 2: Convert to fraction form
    516.11/774.36 = 242.06/x
  3. Step 3: Cross multiply
    516.11x = 774.36 × 242.06
  4. Step 4: Simplify right side
    516.11x = 187,437.71
  5. Step 5: Solve for x
    x = 187,437.71/516.11
  6. Step 6: Final answer
    x = 363.18

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Why These Related Problems?

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