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Finding the Fourth Proportional to 443.34, 612.33 and 295.71

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Solution

The fourth proportional to 443.34, 612.33 and 295.71 is: 408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.34 : 612.33 = 295.71 : x
  2. Step 2: Convert to fraction form
    443.34/612.33 = 295.71/x
  3. Step 3: Cross multiply
    443.34x = 612.33 × 295.71
  4. Step 4: Simplify right side
    443.34x = 181,072.10
  5. Step 5: Solve for x
    x = 181,072.10/443.34
  6. Step 6: Final answer
    x = 408.43

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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.