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Finding the Fourth Proportional to 340.72, 470.16 and 216.44

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Solution

The fourth proportional to 340.72, 470.16 and 216.44 is: 298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.72 : 470.16 = 216.44 : x
  2. Step 2: Convert to fraction form
    340.72/470.16 = 216.44/x
  3. Step 3: Cross multiply
    340.72x = 470.16 × 216.44
  4. Step 4: Simplify right side
    340.72x = 101,761.43
  5. Step 5: Solve for x
    x = 101,761.43/340.72
  6. Step 6: Final answer
    x = 298.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.