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Finding the Fourth Proportional to 346.42, 478.22 and 251.97

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Solution

The fourth proportional to 346.42, 478.22 and 251.97 is: 347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.42 : 478.22 = 251.97 : x
  2. Step 2: Convert to fraction form
    346.42/478.22 = 251.97/x
  3. Step 3: Cross multiply
    346.42x = 478.22 × 251.97
  4. Step 4: Simplify right side
    346.42x = 120,497.09
  5. Step 5: Solve for x
    x = 120,497.09/346.42
  6. Step 6: Final answer
    x = 347.84

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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.