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Finding the Fourth Proportional to 355.26, 533.25 and 252.66

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Solution

The fourth proportional to 355.26, 533.25 and 252.66 is: 379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.26 : 533.25 = 252.66 : x
  2. Step 2: Convert to fraction form
    355.26/533.25 = 252.66/x
  3. Step 3: Cross multiply
    355.26x = 533.25 × 252.66
  4. Step 4: Simplify right side
    355.26x = 134,730.95
  5. Step 5: Solve for x
    x = 134,730.95/355.26
  6. Step 6: Final answer
    x = 379.25

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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.