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Finding the Fourth Proportional to 450.87, 622.32 and 293.49

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Solution

The fourth proportional to 450.87, 622.32 and 293.49 is: 405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.87 : 622.32 = 293.49 : x
  2. Step 2: Convert to fraction form
    450.87/622.32 = 293.49/x
  3. Step 3: Cross multiply
    450.87x = 622.32 × 293.49
  4. Step 4: Simplify right side
    450.87x = 182,644.70
  5. Step 5: Solve for x
    x = 182,644.70/450.87
  6. Step 6: Final answer
    x = 405.09

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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.