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Finding the Fourth Proportional to 450.13, 621.39 and 301.15

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Solution

The fourth proportional to 450.13, 621.39 and 301.15 is: 415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.13 : 621.39 = 301.15 : x
  2. Step 2: Convert to fraction form
    450.13/621.39 = 301.15/x
  3. Step 3: Cross multiply
    450.13x = 621.39 × 301.15
  4. Step 4: Simplify right side
    450.13x = 187,131.60
  5. Step 5: Solve for x
    x = 187,131.60/450.13
  6. Step 6: Final answer
    x = 415.73

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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.