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Finding the Fourth Proportional to 516.74, 774.13 and 400.61

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Solution

The fourth proportional to 516.74, 774.13 and 400.61 is: 600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.74 : 774.13 = 400.61 : x
  2. Step 2: Convert to fraction form
    516.74/774.13 = 400.61/x
  3. Step 3: Cross multiply
    516.74x = 774.13 × 400.61
  4. Step 4: Simplify right side
    516.74x = 310,122.95
  5. Step 5: Solve for x
    x = 310,122.95/516.74
  6. Step 6: Final answer
    x = 600.16

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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.