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Finding the Fourth Proportional to 516.30, 772.98 and 400.95

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Solution

The fourth proportional to 516.30, 772.98 and 400.95 is: 600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.30 : 772.98 = 400.95 : x
  2. Step 2: Convert to fraction form
    516.30/772.98 = 400.95/x
  3. Step 3: Cross multiply
    516.30x = 772.98 × 400.95
  4. Step 4: Simplify right side
    516.30x = 309,926.33
  5. Step 5: Solve for x
    x = 309,926.33/516.30
  6. Step 6: Final answer
    x = 600.28

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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.