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Finding the Fourth Proportional to 577.22, 865.76 and 252.32

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Solution

The fourth proportional to 577.22, 865.76 and 252.32 is: 378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.22 : 865.76 = 252.32 : x
  2. Step 2: Convert to fraction form
    577.22/865.76 = 252.32/x
  3. Step 3: Cross multiply
    577.22x = 865.76 × 252.32
  4. Step 4: Simplify right side
    577.22x = 218,448.56
  5. Step 5: Solve for x
    x = 218,448.56/577.22
  6. Step 6: Final answer
    x = 378.45

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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.