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Finding the Fourth Proportional to 450.63, 622.17 and 293.49

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Solution

The fourth proportional to 450.63, 622.17 and 293.49 is: 405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.63 : 622.17 = 293.49 : x
  2. Step 2: Convert to fraction form
    450.63/622.17 = 293.49/x
  3. Step 3: Cross multiply
    450.63x = 622.17 × 293.49
  4. Step 4: Simplify right side
    450.63x = 182,600.67
  5. Step 5: Solve for x
    x = 182,600.67/450.63
  6. Step 6: Final answer
    x = 405.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.