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Finding the Fourth Proportional to 343.70, 474.49 and 264.84

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Solution

The fourth proportional to 343.70, 474.49 and 264.84 is: 365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.70 : 474.49 = 264.84 : x
  2. Step 2: Convert to fraction form
    343.70/474.49 = 264.84/x
  3. Step 3: Cross multiply
    343.70x = 474.49 × 264.84
  4. Step 4: Simplify right side
    343.70x = 125,664.47
  5. Step 5: Solve for x
    x = 125,664.47/343.70
  6. Step 6: Final answer
    x = 365.62

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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.