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Finding the Fourth Proportional to 265.64, 398.26 and 252.63

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Solution

The fourth proportional to 265.64, 398.26 and 252.63 is: 378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.64 : 398.26 = 252.63 : x
  2. Step 2: Convert to fraction form
    265.64/398.26 = 252.63/x
  3. Step 3: Cross multiply
    265.64x = 398.26 × 252.63
  4. Step 4: Simplify right side
    265.64x = 100,611.16
  5. Step 5: Solve for x
    x = 100,611.16/265.64
  6. Step 6: Final answer
    x = 378.75

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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.