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Finding the Fourth Proportional to 454.97, 628.16 and 299.81

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Solution

The fourth proportional to 454.97, 628.16 and 299.81 is: 413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.97 : 628.16 = 299.81 : x
  2. Step 2: Convert to fraction form
    454.97/628.16 = 299.81/x
  3. Step 3: Cross multiply
    454.97x = 628.16 × 299.81
  4. Step 4: Simplify right side
    454.97x = 188,324.01
  5. Step 5: Solve for x
    x = 188,324.01/454.97
  6. Step 6: Final answer
    x = 413.93

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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.