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Finding the Fourth Proportional to 443.62, 612.72 and 296

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Solution

The fourth proportional to 443.62, 612.72 and 296 is: 408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.62 : 612.72 = 296 : x
  2. Step 2: Convert to fraction form
    443.62/612.72 = 296/x
  3. Step 3: Cross multiply
    443.62x = 612.72 × 296
  4. Step 4: Simplify right side
    443.62x = 181,365.12
  5. Step 5: Solve for x
    x = 181,365.12/443.62
  6. Step 6: Final answer
    x = 408.83

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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.