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Finding the Fourth Proportional to 516.33, 774.51 and 296.85

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Solution

The fourth proportional to 516.33, 774.51 and 296.85 is: 445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.33 : 774.51 = 296.85 : x
  2. Step 2: Convert to fraction form
    516.33/774.51 = 296.85/x
  3. Step 3: Cross multiply
    516.33x = 774.51 × 296.85
  4. Step 4: Simplify right side
    516.33x = 229,913.29
  5. Step 5: Solve for x
    x = 229,913.29/516.33
  6. Step 6: Final answer
    x = 445.28

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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.