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Finding the Fourth Proportional to 516.96, 775.04 and 242.91

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Solution

The fourth proportional to 516.96, 775.04 and 242.91 is: 364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.96 : 775.04 = 242.91 : x
  2. Step 2: Convert to fraction form
    516.96/775.04 = 242.91/x
  3. Step 3: Cross multiply
    516.96x = 775.04 × 242.91
  4. Step 4: Simplify right side
    516.96x = 188,263.75
  5. Step 5: Solve for x
    x = 188,263.75/516.96
  6. Step 6: Final answer
    x = 364.17

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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.