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Finding the Fourth Proportional to 343.46, 473.99 and 219.12

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Solution

The fourth proportional to 343.46, 473.99 and 219.12 is: 302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.46 : 473.99 = 219.12 : x
  2. Step 2: Convert to fraction form
    343.46/473.99 = 219.12/x
  3. Step 3: Cross multiply
    343.46x = 473.99 × 219.12
  4. Step 4: Simplify right side
    343.46x = 103,859.59
  5. Step 5: Solve for x
    x = 103,859.59/343.46
  6. Step 6: Final answer
    x = 302.40

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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.