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Finding the Fourth Proportional to 553.69, 764.19 and 320.81

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Solution

The fourth proportional to 553.69, 764.19 and 320.81 is: 442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.69 : 764.19 = 320.81 : x
  2. Step 2: Convert to fraction form
    553.69/764.19 = 320.81/x
  3. Step 3: Cross multiply
    553.69x = 764.19 × 320.81
  4. Step 4: Simplify right side
    553.69x = 245,161.70
  5. Step 5: Solve for x
    x = 245,161.70/553.69
  6. Step 6: Final answer
    x = 442.78

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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.