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Finding the Fourth Proportional to 346.29, 477.73 and 221.92

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Solution

The fourth proportional to 346.29, 477.73 and 221.92 is: 306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.29 : 477.73 = 221.92 : x
  2. Step 2: Convert to fraction form
    346.29/477.73 = 221.92/x
  3. Step 3: Cross multiply
    346.29x = 477.73 × 221.92
  4. Step 4: Simplify right side
    346.29x = 106,017.84
  5. Step 5: Solve for x
    x = 106,017.84/346.29
  6. Step 6: Final answer
    x = 306.15

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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.