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Finding the Fourth Proportional to 335.64, 504.26 and 214.14

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Solution

The fourth proportional to 335.64, 504.26 and 214.14 is: 321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.64 : 504.26 = 214.14 : x
  2. Step 2: Convert to fraction form
    335.64/504.26 = 214.14/x
  3. Step 3: Cross multiply
    335.64x = 504.26 × 214.14
  4. Step 4: Simplify right side
    335.64x = 107,982.24
  5. Step 5: Solve for x
    x = 107,982.24/335.64
  6. Step 6: Final answer
    x = 321.72

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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.