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Finding the Fourth Proportional to 553.87, 764.37 and 305.22

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Solution

The fourth proportional to 553.87, 764.37 and 305.22 is: 421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.87 : 764.37 = 305.22 : x
  2. Step 2: Convert to fraction form
    553.87/764.37 = 305.22/x
  3. Step 3: Cross multiply
    553.87x = 764.37 × 305.22
  4. Step 4: Simplify right side
    553.87x = 233,297.95
  5. Step 5: Solve for x
    x = 233,297.95/553.87
  6. Step 6: Final answer
    x = 421.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.