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Finding the Fourth Proportional to 474.03, 654.09 and 316.41

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Solution

The fourth proportional to 474.03, 654.09 and 316.41 is: 436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.03 : 654.09 = 316.41 : x
  2. Step 2: Convert to fraction form
    474.03/654.09 = 316.41/x
  3. Step 3: Cross multiply
    474.03x = 654.09 × 316.41
  4. Step 4: Simplify right side
    474.03x = 206,961.56
  5. Step 5: Solve for x
    x = 206,961.56/474.03
  6. Step 6: Final answer
    x = 436.60

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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.