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Finding the Fourth Proportional to 577.30, 865.64 and 252.29

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Solution

The fourth proportional to 577.30, 865.64 and 252.29 is: 378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.30 : 865.64 = 252.29 : x
  2. Step 2: Convert to fraction form
    577.30/865.64 = 252.29/x
  3. Step 3: Cross multiply
    577.30x = 865.64 × 252.29
  4. Step 4: Simplify right side
    577.30x = 218,386.73
  5. Step 5: Solve for x
    x = 218,386.73/577.30
  6. Step 6: Final answer
    x = 378.29

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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.