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Finding the Fourth Proportional to 346.20, 477.72 and 213.48

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Solution

The fourth proportional to 346.20, 477.72 and 213.48 is: 294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.20 : 477.72 = 213.48 : x
  2. Step 2: Convert to fraction form
    346.20/477.72 = 213.48/x
  3. Step 3: Cross multiply
    346.20x = 477.72 × 213.48
  4. Step 4: Simplify right side
    346.20x = 101,983.67
  5. Step 5: Solve for x
    x = 101,983.67/346.20
  6. Step 6: Final answer
    x = 294.58

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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.