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Finding the Fourth Proportional to 341.64, 512.22 and 269.64

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Solution

The fourth proportional to 341.64, 512.22 and 269.64 is: 404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.64 : 512.22 = 269.64 : x
  2. Step 2: Convert to fraction form
    341.64/512.22 = 269.64/x
  3. Step 3: Cross multiply
    341.64x = 512.22 × 269.64
  4. Step 4: Simplify right side
    341.64x = 138,115.00
  5. Step 5: Solve for x
    x = 138,115.00/341.64
  6. Step 6: Final answer
    x = 404.27

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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.