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Finding the Fourth Proportional to 516.48, 775.18 and 242.72

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Solution

The fourth proportional to 516.48, 775.18 and 242.72 is: 364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.48 : 775.18 = 242.72 : x
  2. Step 2: Convert to fraction form
    516.48/775.18 = 242.72/x
  3. Step 3: Cross multiply
    516.48x = 775.18 × 242.72
  4. Step 4: Simplify right side
    516.48x = 188,151.69
  5. Step 5: Solve for x
    x = 188,151.69/516.48
  6. Step 6: Final answer
    x = 364.30

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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.