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Finding the Fourth Proportional to 517.46, 773.79 and 400.58

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Solution

The fourth proportional to 517.46, 773.79 and 400.58 is: 599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.46 : 773.79 = 400.58 : x
  2. Step 2: Convert to fraction form
    517.46/773.79 = 400.58/x
  3. Step 3: Cross multiply
    517.46x = 773.79 × 400.58
  4. Step 4: Simplify right side
    517.46x = 309,964.80
  5. Step 5: Solve for x
    x = 309,964.80/517.46
  6. Step 6: Final answer
    x = 599.01

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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.