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Finding the Fourth Proportional to 666.42, 999.63 and 301.11

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Solution

The fourth proportional to 666.42, 999.63 and 301.11 is: 451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.42 : 999.63 = 301.11 : x
  2. Step 2: Convert to fraction form
    666.42/999.63 = 301.11/x
  3. Step 3: Cross multiply
    666.42x = 999.63 × 301.11
  4. Step 4: Simplify right side
    666.42x = 300,998.59
  5. Step 5: Solve for x
    x = 300,998.59/666.42
  6. Step 6: Final answer
    x = 451.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.