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Finding the Fourth Proportional to 327.21, 491.06 and 253.63

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Solution

The fourth proportional to 327.21, 491.06 and 253.63 is: 380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.21 : 491.06 = 253.63 : x
  2. Step 2: Convert to fraction form
    327.21/491.06 = 253.63/x
  3. Step 3: Cross multiply
    327.21x = 491.06 × 253.63
  4. Step 4: Simplify right side
    327.21x = 124,548.80
  5. Step 5: Solve for x
    x = 124,548.80/327.21
  6. Step 6: Final answer
    x = 380.64

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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.