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Finding the Fourth Proportional to 474.08, 654.45 and 334.31

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Solution

The fourth proportional to 474.08, 654.45 and 334.31 is: 461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.08 : 654.45 = 334.31 : x
  2. Step 2: Convert to fraction form
    474.08/654.45 = 334.31/x
  3. Step 3: Cross multiply
    474.08x = 654.45 × 334.31
  4. Step 4: Simplify right side
    474.08x = 218,789.18
  5. Step 5: Solve for x
    x = 218,789.18/474.08
  6. Step 6: Final answer
    x = 461.50

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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.