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Finding the Fourth Proportional to 423.80, 585.11 and 274.56

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Solution

The fourth proportional to 423.80, 585.11 and 274.56 is: 379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.80 : 585.11 = 274.56 : x
  2. Step 2: Convert to fraction form
    423.80/585.11 = 274.56/x
  3. Step 3: Cross multiply
    423.80x = 585.11 × 274.56
  4. Step 4: Simplify right side
    423.80x = 160,646.43
  5. Step 5: Solve for x
    x = 160,646.43/423.80
  6. Step 6: Final answer
    x = 379.06

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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.