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Finding the Fourth Proportional to 553.46, 764.08 and 367.20

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Solution

The fourth proportional to 553.46, 764.08 and 367.20 is: 506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.46 : 764.08 = 367.20 : x
  2. Step 2: Convert to fraction form
    553.46/764.08 = 367.20/x
  3. Step 3: Cross multiply
    553.46x = 764.08 × 367.20
  4. Step 4: Simplify right side
    553.46x = 280,567.77
  5. Step 5: Solve for x
    x = 280,567.77/553.46
  6. Step 6: Final answer
    x = 506.94

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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.