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Finding the Fourth Proportional to 516.72, 774.76 and 334

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Solution

The fourth proportional to 516.72, 774.76 and 334 is: 500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.72 : 774.76 = 334 : x
  2. Step 2: Convert to fraction form
    516.72/774.76 = 334/x
  3. Step 3: Cross multiply
    516.72x = 774.76 × 334
  4. Step 4: Simplify right side
    516.72x = 258,769.84
  5. Step 5: Solve for x
    x = 258,769.84/516.72
  6. Step 6: Final answer
    x = 500.79

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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.