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Finding the Fourth Proportional to 474.70, 654.60 and 299.74

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Solution

The fourth proportional to 474.70, 654.60 and 299.74 is: 413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.70 : 654.60 = 299.74 : x
  2. Step 2: Convert to fraction form
    474.70/654.60 = 299.74/x
  3. Step 3: Cross multiply
    474.70x = 654.60 × 299.74
  4. Step 4: Simplify right side
    474.70x = 196,209.80
  5. Step 5: Solve for x
    x = 196,209.80/474.70
  6. Step 6: Final answer
    x = 413.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.