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Finding the Fourth Proportional to 474.24, 654.54 and 299.54

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Solution

The fourth proportional to 474.24, 654.54 and 299.54 is: 413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.24 : 654.54 = 299.54 : x
  2. Step 2: Convert to fraction form
    474.24/654.54 = 299.54/x
  3. Step 3: Cross multiply
    474.24x = 654.54 × 299.54
  4. Step 4: Simplify right side
    474.24x = 196,060.91
  5. Step 5: Solve for x
    x = 196,060.91/474.24
  6. Step 6: Final answer
    x = 413.42

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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.