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Finding the Fourth Proportional to 437.62, 655.35 and 274.81

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Solution

The fourth proportional to 437.62, 655.35 and 274.81 is: 411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.62 : 655.35 = 274.81 : x
  2. Step 2: Convert to fraction form
    437.62/655.35 = 274.81/x
  3. Step 3: Cross multiply
    437.62x = 655.35 × 274.81
  4. Step 4: Simplify right side
    437.62x = 180,096.73
  5. Step 5: Solve for x
    x = 180,096.73/437.62
  6. Step 6: Final answer
    x = 411.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.