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Finding the Fourth Proportional to 355.11, 532.82 and 274.65

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Solution

The fourth proportional to 355.11, 532.82 and 274.65 is: 412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.11 : 532.82 = 274.65 : x
  2. Step 2: Convert to fraction form
    355.11/532.82 = 274.65/x
  3. Step 3: Cross multiply
    355.11x = 532.82 × 274.65
  4. Step 4: Simplify right side
    355.11x = 146,339.01
  5. Step 5: Solve for x
    x = 146,339.01/355.11
  6. Step 6: Final answer
    x = 412.09

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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.