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Finding the Fourth Proportional to 442.40, 666.91 and 412.67

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Solution

The fourth proportional to 442.40, 666.91 and 412.67 is: 622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.40 : 666.91 = 412.67 : x
  2. Step 2: Convert to fraction form
    442.40/666.91 = 412.67/x
  3. Step 3: Cross multiply
    442.40x = 666.91 × 412.67
  4. Step 4: Simplify right side
    442.40x = 275,212.28
  5. Step 5: Solve for x
    x = 275,212.28/442.40
  6. Step 6: Final answer
    x = 622.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.