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Finding the Fourth Proportional to 553.87, 764.33 and 305.18

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Solution

The fourth proportional to 553.87, 764.33 and 305.18 is: 421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.87 : 764.33 = 305.18 : x
  2. Step 2: Convert to fraction form
    553.87/764.33 = 305.18/x
  3. Step 3: Cross multiply
    553.87x = 764.33 × 305.18
  4. Step 4: Simplify right side
    553.87x = 233,258.23
  5. Step 5: Solve for x
    x = 233,258.23/553.87
  6. Step 6: Final answer
    x = 421.14

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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.