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Finding the Fourth Proportional to 474.14, 653.97 and 299.72

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Solution

The fourth proportional to 474.14, 653.97 and 299.72 is: 413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.14 : 653.97 = 299.72 : x
  2. Step 2: Convert to fraction form
    474.14/653.97 = 299.72/x
  3. Step 3: Cross multiply
    474.14x = 653.97 × 299.72
  4. Step 4: Simplify right side
    474.14x = 196,007.89
  5. Step 5: Solve for x
    x = 196,007.89/474.14
  6. Step 6: Final answer
    x = 413.40

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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.