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Finding the Fourth Proportional to 386.99, 580.31 and 224.72

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Solution

The fourth proportional to 386.99, 580.31 and 224.72 is: 336.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.99 : 580.31 = 224.72 : x
  2. Step 2: Convert to fraction form
    386.99/580.31 = 224.72/x
  3. Step 3: Cross multiply
    386.99x = 580.31 × 224.72
  4. Step 4: Simplify right side
    386.99x = 130,406.14
  5. Step 5: Solve for x
    x = 130,406.14/386.99
  6. Step 6: Final answer
    x = 336.98

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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.