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Finding the Fourth Proportional to 379.08, 567.42 and 310.44

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Solution

The fourth proportional to 379.08, 567.42 and 310.44 is: 464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.08 : 567.42 = 310.44 : x
  2. Step 2: Convert to fraction form
    379.08/567.42 = 310.44/x
  3. Step 3: Cross multiply
    379.08x = 567.42 × 310.44
  4. Step 4: Simplify right side
    379.08x = 176,149.86
  5. Step 5: Solve for x
    x = 176,149.86/379.08
  6. Step 6: Final answer
    x = 464.68

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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.