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Finding the Fourth Proportional to 553.72, 764.30 and 443.16

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Solution

The fourth proportional to 553.72, 764.30 and 443.16 is: 611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.72 : 764.30 = 443.16 : x
  2. Step 2: Convert to fraction form
    553.72/764.30 = 443.16/x
  3. Step 3: Cross multiply
    553.72x = 764.30 × 443.16
  4. Step 4: Simplify right side
    553.72x = 338,707.19
  5. Step 5: Solve for x
    x = 338,707.19/553.72
  6. Step 6: Final answer
    x = 611.69

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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.