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Finding the Fourth Proportional to 474.10, 653.97 and 333.97

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Solution

The fourth proportional to 474.10, 653.97 and 333.97 is: 460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.10 : 653.97 = 333.97 : x
  2. Step 2: Convert to fraction form
    474.10/653.97 = 333.97/x
  3. Step 3: Cross multiply
    474.10x = 653.97 × 333.97
  4. Step 4: Simplify right side
    474.10x = 218,406.36
  5. Step 5: Solve for x
    x = 218,406.36/474.10
  6. Step 6: Final answer
    x = 460.68

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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.