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Finding the Fourth Proportional to 344.76, 476.22 and 256.44

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Solution

The fourth proportional to 344.76, 476.22 and 256.44 is: 354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.76 : 476.22 = 256.44 : x
  2. Step 2: Convert to fraction form
    344.76/476.22 = 256.44/x
  3. Step 3: Cross multiply
    344.76x = 476.22 × 256.44
  4. Step 4: Simplify right side
    344.76x = 122,121.86
  5. Step 5: Solve for x
    x = 122,121.86/344.76
  6. Step 6: Final answer
    x = 354.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.