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Finding the Fourth Proportional to 443.42, 611.81 and 301.67

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Solution

The fourth proportional to 443.42, 611.81 and 301.67 is: 416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.42 : 611.81 = 301.67 : x
  2. Step 2: Convert to fraction form
    443.42/611.81 = 301.67/x
  3. Step 3: Cross multiply
    443.42x = 611.81 × 301.67
  4. Step 4: Simplify right side
    443.42x = 184,562.42
  5. Step 5: Solve for x
    x = 184,562.42/443.42
  6. Step 6: Final answer
    x = 416.23

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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.