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Finding the Fourth Proportional to 474.12, 654.20 and 274.96

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Solution

The fourth proportional to 474.12, 654.20 and 274.96 is: 379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.12 : 654.20 = 274.96 : x
  2. Step 2: Convert to fraction form
    474.12/654.20 = 274.96/x
  3. Step 3: Cross multiply
    474.12x = 654.20 × 274.96
  4. Step 4: Simplify right side
    474.12x = 179,878.83
  5. Step 5: Solve for x
    x = 179,878.83/474.12
  6. Step 6: Final answer
    x = 379.40

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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.