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Finding the Fourth Proportional to 340.85, 470.21 and 216.41

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Solution

The fourth proportional to 340.85, 470.21 and 216.41 is: 298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.85 : 470.21 = 216.41 : x
  2. Step 2: Convert to fraction form
    340.85/470.21 = 216.41/x
  3. Step 3: Cross multiply
    340.85x = 470.21 × 216.41
  4. Step 4: Simplify right side
    340.85x = 101,754.71
  5. Step 5: Solve for x
    x = 101,754.71/340.85
  6. Step 6: Final answer
    x = 298.53

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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.