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Finding the Fourth Proportional to 397.70, 545.56 and 380.90

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Solution

The fourth proportional to 397.70, 545.56 and 380.90 is: 522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.70 : 545.56 = 380.90 : x
  2. Step 2: Convert to fraction form
    397.70/545.56 = 380.90/x
  3. Step 3: Cross multiply
    397.70x = 545.56 × 380.90
  4. Step 4: Simplify right side
    397.70x = 207,803.80
  5. Step 5: Solve for x
    x = 207,803.80/397.70
  6. Step 6: Final answer
    x = 522.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.