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Finding the Fourth Proportional to 380.21, 524.70 and 205.56

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Solution

The fourth proportional to 380.21, 524.70 and 205.56 is: 283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.21 : 524.70 = 205.56 : x
  2. Step 2: Convert to fraction form
    380.21/524.70 = 205.56/x
  3. Step 3: Cross multiply
    380.21x = 524.70 × 205.56
  4. Step 4: Simplify right side
    380.21x = 107,855.87
  5. Step 5: Solve for x
    x = 107,855.87/380.21
  6. Step 6: Final answer
    x = 283.67

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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.