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Finding the Fourth Proportional to 343.76, 474.27 and 210.92

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Solution

The fourth proportional to 343.76, 474.27 and 210.92 is: 291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.76 : 474.27 = 210.92 : x
  2. Step 2: Convert to fraction form
    343.76/474.27 = 210.92/x
  3. Step 3: Cross multiply
    343.76x = 474.27 × 210.92
  4. Step 4: Simplify right side
    343.76x = 100,033.03
  5. Step 5: Solve for x
    x = 100,033.03/343.76
  6. Step 6: Final answer
    x = 291.00

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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.