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Finding the Fourth Proportional to 346.37, 477.86 and 213.55

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Solution

The fourth proportional to 346.37, 477.86 and 213.55 is: 294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.37 : 477.86 = 213.55 : x
  2. Step 2: Convert to fraction form
    346.37/477.86 = 213.55/x
  3. Step 3: Cross multiply
    346.37x = 477.86 × 213.55
  4. Step 4: Simplify right side
    346.37x = 102,044.74
  5. Step 5: Solve for x
    x = 102,044.74/346.37
  6. Step 6: Final answer
    x = 294.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.