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Finding the Fourth Proportional to 346.44, 477.90 and 213.69

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Solution

The fourth proportional to 346.44, 477.90 and 213.69 is: 294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.44 : 477.90 = 213.69 : x
  2. Step 2: Convert to fraction form
    346.44/477.90 = 213.69/x
  3. Step 3: Cross multiply
    346.44x = 477.90 × 213.69
  4. Step 4: Simplify right side
    346.44x = 102,124.15
  5. Step 5: Solve for x
    x = 102,124.15/346.44
  6. Step 6: Final answer
    x = 294.78

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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.