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Finding the Fourth Proportional to 443.61, 611.83 and 310.79

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Solution

The fourth proportional to 443.61, 611.83 and 310.79 is: 428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.61 : 611.83 = 310.79 : x
  2. Step 2: Convert to fraction form
    443.61/611.83 = 310.79/x
  3. Step 3: Cross multiply
    443.61x = 611.83 × 310.79
  4. Step 4: Simplify right side
    443.61x = 190,150.65
  5. Step 5: Solve for x
    x = 190,150.65/443.61
  6. Step 6: Final answer
    x = 428.64

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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.