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Finding the Fourth Proportional to 577.65, 865.96 and 252.76

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Solution

The fourth proportional to 577.65, 865.96 and 252.76 is: 378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.65 : 865.96 = 252.76 : x
  2. Step 2: Convert to fraction form
    577.65/865.96 = 252.76/x
  3. Step 3: Cross multiply
    577.65x = 865.96 × 252.76
  4. Step 4: Simplify right side
    577.65x = 218,880.05
  5. Step 5: Solve for x
    x = 218,880.05/577.65
  6. Step 6: Final answer
    x = 378.91

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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.