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Finding the Fourth Proportional to 386.64, 580.28 and 201.67

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Solution

The fourth proportional to 386.64, 580.28 and 201.67 is: 302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.64 : 580.28 = 201.67 : x
  2. Step 2: Convert to fraction form
    386.64/580.28 = 201.67/x
  3. Step 3: Cross multiply
    386.64x = 580.28 × 201.67
  4. Step 4: Simplify right side
    386.64x = 117,022.61
  5. Step 5: Solve for x
    x = 117,022.61/386.64
  6. Step 6: Final answer
    x = 302.67

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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.