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Finding the Fourth Proportional to 274.13, 410.22 and 219.64

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Solution

The fourth proportional to 274.13, 410.22 and 219.64 is: 328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.13 : 410.22 = 219.64 : x
  2. Step 2: Convert to fraction form
    274.13/410.22 = 219.64/x
  3. Step 3: Cross multiply
    274.13x = 410.22 × 219.64
  4. Step 4: Simplify right side
    274.13x = 90,099.95
  5. Step 5: Solve for x
    x = 90,099.95/274.13
  6. Step 6: Final answer
    x = 328.67

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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.