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Finding the Fourth Proportional to 450.79, 622.21 and 293.82

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Solution

The fourth proportional to 450.79, 622.21 and 293.82 is: 405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.79 : 622.21 = 293.82 : x
  2. Step 2: Convert to fraction form
    450.79/622.21 = 293.82/x
  3. Step 3: Cross multiply
    450.79x = 622.21 × 293.82
  4. Step 4: Simplify right side
    450.79x = 182,817.74
  5. Step 5: Solve for x
    x = 182,817.74/450.79
  6. Step 6: Final answer
    x = 405.55

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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.