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Finding the Fourth Proportional to 450.24, 623.90 and 433.23

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Solution

The fourth proportional to 450.24, 623.90 and 433.23 is: 600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.24 : 623.90 = 433.23 : x
  2. Step 2: Convert to fraction form
    450.24/623.90 = 433.23/x
  3. Step 3: Cross multiply
    450.24x = 623.90 × 433.23
  4. Step 4: Simplify right side
    450.24x = 270,290.03
  5. Step 5: Solve for x
    x = 270,290.03/450.24
  6. Step 6: Final answer
    x = 600.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.