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Finding the Fourth Proportional to 517.65, 774.69 and 395.20

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Solution

The fourth proportional to 517.65, 774.69 and 395.20 is: 591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.65 : 774.69 = 395.20 : x
  2. Step 2: Convert to fraction form
    517.65/774.69 = 395.20/x
  3. Step 3: Cross multiply
    517.65x = 774.69 × 395.20
  4. Step 4: Simplify right side
    517.65x = 306,157.49
  5. Step 5: Solve for x
    x = 306,157.49/517.65
  6. Step 6: Final answer
    x = 591.44

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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.