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Finding the Fourth Proportional to 474.04, 653.97 and 299.53

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Solution

The fourth proportional to 474.04, 653.97 and 299.53 is: 413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.04 : 653.97 = 299.53 : x
  2. Step 2: Convert to fraction form
    474.04/653.97 = 299.53/x
  3. Step 3: Cross multiply
    474.04x = 653.97 × 299.53
  4. Step 4: Simplify right side
    474.04x = 195,883.63
  5. Step 5: Solve for x
    x = 195,883.63/474.04
  6. Step 6: Final answer
    x = 413.22

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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.