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Finding the Fourth Proportional to 516.34, 773.55 and 296.71

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Solution

The fourth proportional to 516.34, 773.55 and 296.71 is: 444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.34 : 773.55 = 296.71 : x
  2. Step 2: Convert to fraction form
    516.34/773.55 = 296.71/x
  3. Step 3: Cross multiply
    516.34x = 773.55 × 296.71
  4. Step 4: Simplify right side
    516.34x = 229,520.02
  5. Step 5: Solve for x
    x = 229,520.02/516.34
  6. Step 6: Final answer
    x = 444.51

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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.