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Finding the Fourth Proportional to 335.14, 503.01 and 213.70

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Solution

The fourth proportional to 335.14, 503.01 and 213.70 is: 320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.14 : 503.01 = 213.70 : x
  2. Step 2: Convert to fraction form
    335.14/503.01 = 213.70/x
  3. Step 3: Cross multiply
    335.14x = 503.01 × 213.70
  4. Step 4: Simplify right side
    335.14x = 107,493.24
  5. Step 5: Solve for x
    x = 107,493.24/335.14
  6. Step 6: Final answer
    x = 320.74

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