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Finding the Fourth Proportional to 443.42, 612.14 and 343.61

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Solution

The fourth proportional to 443.42, 612.14 and 343.61 is: 474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.42 : 612.14 = 343.61 : x
  2. Step 2: Convert to fraction form
    443.42/612.14 = 343.61/x
  3. Step 3: Cross multiply
    443.42x = 612.14 × 343.61
  4. Step 4: Simplify right side
    443.42x = 210,334.94
  5. Step 5: Solve for x
    x = 210,334.94/443.42
  6. Step 6: Final answer
    x = 474.35

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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.