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Finding the Fourth Proportional to 443.35, 612.04 and 343.54

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Solution

The fourth proportional to 443.35, 612.04 and 343.54 is: 474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.35 : 612.04 = 343.54 : x
  2. Step 2: Convert to fraction form
    443.35/612.04 = 343.54/x
  3. Step 3: Cross multiply
    443.35x = 612.04 × 343.54
  4. Step 4: Simplify right side
    443.35x = 210,258.08
  5. Step 5: Solve for x
    x = 210,258.08/443.35
  6. Step 6: Final answer
    x = 474.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.