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Finding the Fourth Proportional to 344.71, 475.74 and 257.23

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Solution

The fourth proportional to 344.71, 475.74 and 257.23 is: 355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.71 : 475.74 = 257.23 : x
  2. Step 2: Convert to fraction form
    344.71/475.74 = 257.23/x
  3. Step 3: Cross multiply
    344.71x = 475.74 × 257.23
  4. Step 4: Simplify right side
    344.71x = 122,374.60
  5. Step 5: Solve for x
    x = 122,374.60/344.71
  6. Step 6: Final answer
    x = 355.01

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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.