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Finding the Fourth Proportional to 263.64, 395.02 and 214.64

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Solution

The fourth proportional to 263.64, 395.02 and 214.64 is: 321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.64 : 395.02 = 214.64 : x
  2. Step 2: Convert to fraction form
    263.64/395.02 = 214.64/x
  3. Step 3: Cross multiply
    263.64x = 395.02 × 214.64
  4. Step 4: Simplify right side
    263.64x = 84,787.09
  5. Step 5: Solve for x
    x = 84,787.09/263.64
  6. Step 6: Final answer
    x = 321.60

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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.