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Finding the Fourth Proportional to 474.29, 654.20 and 412.01

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Solution

The fourth proportional to 474.29, 654.20 and 412.01 is: 568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.29 : 654.20 = 412.01 : x
  2. Step 2: Convert to fraction form
    474.29/654.20 = 412.01/x
  3. Step 3: Cross multiply
    474.29x = 654.20 × 412.01
  4. Step 4: Simplify right side
    474.29x = 269,540.43
  5. Step 5: Solve for x
    x = 269,540.43/474.29
  6. Step 6: Final answer
    x = 568.30

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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.