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Finding the Fourth Proportional to 380.37, 570.03 and 197.40

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Solution

The fourth proportional to 380.37, 570.03 and 197.40 is: 295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.37 : 570.03 = 197.40 : x
  2. Step 2: Convert to fraction form
    380.37/570.03 = 197.40/x
  3. Step 3: Cross multiply
    380.37x = 570.03 × 197.40
  4. Step 4: Simplify right side
    380.37x = 112,523.92
  5. Step 5: Solve for x
    x = 112,523.92/380.37
  6. Step 6: Final answer
    x = 295.83

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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.