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Finding the Fourth Proportional to 516.84, 775.12 and 242.38

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Solution

The fourth proportional to 516.84, 775.12 and 242.38 is: 363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.84 : 775.12 = 242.38 : x
  2. Step 2: Convert to fraction form
    516.84/775.12 = 242.38/x
  3. Step 3: Cross multiply
    516.84x = 775.12 × 242.38
  4. Step 4: Simplify right side
    516.84x = 187,873.59
  5. Step 5: Solve for x
    x = 187,873.59/516.84
  6. Step 6: Final answer
    x = 363.50

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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.