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Finding the Fourth Proportional to 517.02, 774.45 and 378.10

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Solution

The fourth proportional to 517.02, 774.45 and 378.10 is: 566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.02 : 774.45 = 378.10 : x
  2. Step 2: Convert to fraction form
    517.02/774.45 = 378.10/x
  3. Step 3: Cross multiply
    517.02x = 774.45 × 378.10
  4. Step 4: Simplify right side
    517.02x = 292,819.55
  5. Step 5: Solve for x
    x = 292,819.55/517.02
  6. Step 6: Final answer
    x = 566.36

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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.