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Finding the Fourth Proportional to 467.01, 699.71 and 450.23

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Solution

The fourth proportional to 467.01, 699.71 and 450.23 is: 674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.01 : 699.71 = 450.23 : x
  2. Step 2: Convert to fraction form
    467.01/699.71 = 450.23/x
  3. Step 3: Cross multiply
    467.01x = 699.71 × 450.23
  4. Step 4: Simplify right side
    467.01x = 315,024.68
  5. Step 5: Solve for x
    x = 315,024.68/467.01
  6. Step 6: Final answer
    x = 674.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.