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Finding the Fourth Proportional to 322.75, 445.71 and 253.63

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Solution

The fourth proportional to 322.75, 445.71 and 253.63 is: 350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.75 : 445.71 = 253.63 : x
  2. Step 2: Convert to fraction form
    322.75/445.71 = 253.63/x
  3. Step 3: Cross multiply
    322.75x = 445.71 × 253.63
  4. Step 4: Simplify right side
    322.75x = 113,045.43
  5. Step 5: Solve for x
    x = 113,045.43/322.75
  6. Step 6: Final answer
    x = 350.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.