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Finding the Fourth Proportional to 553.53, 828.83 and 380.53

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Solution

The fourth proportional to 553.53, 828.83 and 380.53 is: 569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.53 : 828.83 = 380.53 : x
  2. Step 2: Convert to fraction form
    553.53/828.83 = 380.53/x
  3. Step 3: Cross multiply
    553.53x = 828.83 × 380.53
  4. Step 4: Simplify right side
    553.53x = 315,396.67
  5. Step 5: Solve for x
    x = 315,396.67/553.53
  6. Step 6: Final answer
    x = 569.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.