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Finding the Fourth Proportional to 433.40, 597.72 and 323.13

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Solution

The fourth proportional to 433.40, 597.72 and 323.13 is: 445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.40 : 597.72 = 323.13 : x
  2. Step 2: Convert to fraction form
    433.40/597.72 = 323.13/x
  3. Step 3: Cross multiply
    433.40x = 597.72 × 323.13
  4. Step 4: Simplify right side
    433.40x = 193,142.90
  5. Step 5: Solve for x
    x = 193,142.90/433.40
  6. Step 6: Final answer
    x = 445.65

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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.