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Finding the Fourth Proportional to 335.98, 504.33 and 214.48

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Solution

The fourth proportional to 335.98, 504.33 and 214.48 is: 321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.98 : 504.33 = 214.48 : x
  2. Step 2: Convert to fraction form
    335.98/504.33 = 214.48/x
  3. Step 3: Cross multiply
    335.98x = 504.33 × 214.48
  4. Step 4: Simplify right side
    335.98x = 108,168.70
  5. Step 5: Solve for x
    x = 108,168.70/335.98
  6. Step 6: Final answer
    x = 321.95

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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.