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Finding the Fourth Proportional to 474.62, 654.72 and 412.31

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Solution

The fourth proportional to 474.62, 654.72 and 412.31 is: 568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.62 : 654.72 = 412.31 : x
  2. Step 2: Convert to fraction form
    474.62/654.72 = 412.31/x
  3. Step 3: Cross multiply
    474.62x = 654.72 × 412.31
  4. Step 4: Simplify right side
    474.62x = 269,944.33
  5. Step 5: Solve for x
    x = 269,944.33/474.62
  6. Step 6: Final answer
    x = 568.76

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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.