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Finding the Fourth Proportional to 346.23, 477.77 and 213.46

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Solution

The fourth proportional to 346.23, 477.77 and 213.46 is: 294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.23 : 477.77 = 213.46 : x
  2. Step 2: Convert to fraction form
    346.23/477.77 = 213.46/x
  3. Step 3: Cross multiply
    346.23x = 477.77 × 213.46
  4. Step 4: Simplify right side
    346.23x = 101,982.52
  5. Step 5: Solve for x
    x = 101,982.52/346.23
  6. Step 6: Final answer
    x = 294.55

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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.