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Finding the Fourth Proportional to 336.74, 505.32 and 227.02

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Solution

The fourth proportional to 336.74, 505.32 and 227.02 is: 340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.74 : 505.32 = 227.02 : x
  2. Step 2: Convert to fraction form
    336.74/505.32 = 227.02/x
  3. Step 3: Cross multiply
    336.74x = 505.32 × 227.02
  4. Step 4: Simplify right side
    336.74x = 114,717.75
  5. Step 5: Solve for x
    x = 114,717.75/336.74
  6. Step 6: Final answer
    x = 340.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.