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Finding the Fourth Proportional to 516.64, 774.96 and 242.53

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Solution

The fourth proportional to 516.64, 774.96 and 242.53 is: 363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.64 : 774.96 = 242.53 : x
  2. Step 2: Convert to fraction form
    516.64/774.96 = 242.53/x
  3. Step 3: Cross multiply
    516.64x = 774.96 × 242.53
  4. Step 4: Simplify right side
    516.64x = 187,951.05
  5. Step 5: Solve for x
    x = 187,951.05/516.64
  6. Step 6: Final answer
    x = 363.80

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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.