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Finding the Fourth Proportional to 450.95, 622.16 and 293.78

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Solution

The fourth proportional to 450.95, 622.16 and 293.78 is: 405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.95 : 622.16 = 293.78 : x
  2. Step 2: Convert to fraction form
    450.95/622.16 = 293.78/x
  3. Step 3: Cross multiply
    450.95x = 622.16 × 293.78
  4. Step 4: Simplify right side
    450.95x = 182,778.16
  5. Step 5: Solve for x
    x = 182,778.16/450.95
  6. Step 6: Final answer
    x = 405.32

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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.