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Finding the Fourth Proportional to 433.20, 597.63 and 293.43

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Solution

The fourth proportional to 433.20, 597.63 and 293.43 is: 404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.20 : 597.63 = 293.43 : x
  2. Step 2: Convert to fraction form
    433.20/597.63 = 293.43/x
  3. Step 3: Cross multiply
    433.20x = 597.63 × 293.43
  4. Step 4: Simplify right side
    433.20x = 175,362.57
  5. Step 5: Solve for x
    x = 175,362.57/433.20
  6. Step 6: Final answer
    x = 404.81

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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.