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Finding the Fourth Proportional to 433.22, 597.74 and 322.73

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Solution

The fourth proportional to 433.22, 597.74 and 322.73 is: 445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.22 : 597.74 = 322.73 : x
  2. Step 2: Convert to fraction form
    433.22/597.74 = 322.73/x
  3. Step 3: Cross multiply
    433.22x = 597.74 × 322.73
  4. Step 4: Simplify right side
    433.22x = 192,907.02
  5. Step 5: Solve for x
    x = 192,907.02/433.22
  6. Step 6: Final answer
    x = 445.29

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Why These Related Problems?

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