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Finding the Fourth Proportional to 460.25, 633.78 and 450.03

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Solution

The fourth proportional to 460.25, 633.78 and 450.03 is: 619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 633.78 = 450.03 : x
  2. Step 2: Convert to fraction form
    460.25/633.78 = 450.03/x
  3. Step 3: Cross multiply
    460.25x = 633.78 × 450.03
  4. Step 4: Simplify right side
    460.25x = 285,220.01
  5. Step 5: Solve for x
    x = 285,220.01/460.25
  6. Step 6: Final answer
    x = 619.71

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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.