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Finding the Fourth Proportional to 516.83, 774.71 and 385.91

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Solution

The fourth proportional to 516.83, 774.71 and 385.91 is: 578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.83 : 774.71 = 385.91 : x
  2. Step 2: Convert to fraction form
    516.83/774.71 = 385.91/x
  3. Step 3: Cross multiply
    516.83x = 774.71 × 385.91
  4. Step 4: Simplify right side
    516.83x = 298,973.41
  5. Step 5: Solve for x
    x = 298,973.41/516.83
  6. Step 6: Final answer
    x = 578.47

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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.