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Finding the Fourth Proportional to 474.05, 653.92 and 299.09

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Solution

The fourth proportional to 474.05, 653.92 and 299.09 is: 412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.05 : 653.92 = 299.09 : x
  2. Step 2: Convert to fraction form
    474.05/653.92 = 299.09/x
  3. Step 3: Cross multiply
    474.05x = 653.92 × 299.09
  4. Step 4: Simplify right side
    474.05x = 195,580.93
  5. Step 5: Solve for x
    x = 195,580.93/474.05
  6. Step 6: Final answer
    x = 412.57

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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.