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Finding the Fourth Proportional to 545.44, 817.20 and 380.56

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Solution

The fourth proportional to 545.44, 817.20 and 380.56 is: 570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.44 : 817.20 = 380.56 : x
  2. Step 2: Convert to fraction form
    545.44/817.20 = 380.56/x
  3. Step 3: Cross multiply
    545.44x = 817.20 × 380.56
  4. Step 4: Simplify right side
    545.44x = 310,993.63
  5. Step 5: Solve for x
    x = 310,993.63/545.44
  6. Step 6: Final answer
    x = 570.17

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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.