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Finding the Fourth Proportional to 433.56, 598.50 and 323.22

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Solution

The fourth proportional to 433.56, 598.50 and 323.22 is: 446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.56 : 598.50 = 323.22 : x
  2. Step 2: Convert to fraction form
    433.56/598.50 = 323.22/x
  3. Step 3: Cross multiply
    433.56x = 598.50 × 323.22
  4. Step 4: Simplify right side
    433.56x = 193,447.17
  5. Step 5: Solve for x
    x = 193,447.17/433.56
  6. Step 6: Final answer
    x = 446.18

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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.