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Finding the Fourth Proportional to 343.80, 474.21 and 270

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Solution

The fourth proportional to 343.80, 474.21 and 270 is: 372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.80 : 474.21 = 270 : x
  2. Step 2: Convert to fraction form
    343.80/474.21 = 270/x
  3. Step 3: Cross multiply
    343.80x = 474.21 × 270
  4. Step 4: Simplify right side
    343.80x = 128,036.70
  5. Step 5: Solve for x
    x = 128,036.70/343.80
  6. Step 6: Final answer
    x = 372.42

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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.