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Finding the Fourth Proportional to 567.87, 851.29 and 275.19

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Solution

The fourth proportional to 567.87, 851.29 and 275.19 is: 412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.87 : 851.29 = 275.19 : x
  2. Step 2: Convert to fraction form
    567.87/851.29 = 275.19/x
  3. Step 3: Cross multiply
    567.87x = 851.29 × 275.19
  4. Step 4: Simplify right side
    567.87x = 234,262.24
  5. Step 5: Solve for x
    x = 234,262.24/567.87
  6. Step 6: Final answer
    x = 412.53

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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.