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Finding the Fourth Proportional to 517.04, 774.57 and 321.42

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Solution

The fourth proportional to 517.04, 774.57 and 321.42 is: 481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.04 : 774.57 = 321.42 : x
  2. Step 2: Convert to fraction form
    517.04/774.57 = 321.42/x
  3. Step 3: Cross multiply
    517.04x = 774.57 × 321.42
  4. Step 4: Simplify right side
    517.04x = 248,962.29
  5. Step 5: Solve for x
    x = 248,962.29/517.04
  6. Step 6: Final answer
    x = 481.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.