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Finding the Fourth Proportional to 474.89, 655.17 and 299.93

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Solution

The fourth proportional to 474.89, 655.17 and 299.93 is: 413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.89 : 655.17 = 299.93 : x
  2. Step 2: Convert to fraction form
    474.89/655.17 = 299.93/x
  3. Step 3: Cross multiply
    474.89x = 655.17 × 299.93
  4. Step 4: Simplify right side
    474.89x = 196,505.14
  5. Step 5: Solve for x
    x = 196,505.14/474.89
  6. Step 6: Final answer
    x = 413.79

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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.