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Finding the Fourth Proportional to 450.21, 621.38 and 263.80

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Solution

The fourth proportional to 450.21, 621.38 and 263.80 is: 364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.21 : 621.38 = 263.80 : x
  2. Step 2: Convert to fraction form
    450.21/621.38 = 263.80/x
  3. Step 3: Cross multiply
    450.21x = 621.38 × 263.80
  4. Step 4: Simplify right side
    450.21x = 163,919.15
  5. Step 5: Solve for x
    x = 163,919.15/450.21
  6. Step 6: Final answer
    x = 364.09

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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.