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Finding the Fourth Proportional to 442.33, 664.03 and 294.21

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Solution

The fourth proportional to 442.33, 664.03 and 294.21 is: 441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.33 : 664.03 = 294.21 : x
  2. Step 2: Convert to fraction form
    442.33/664.03 = 294.21/x
  3. Step 3: Cross multiply
    442.33x = 664.03 × 294.21
  4. Step 4: Simplify right side
    442.33x = 195,364.63
  5. Step 5: Solve for x
    x = 195,364.63/442.33
  6. Step 6: Final answer
    x = 441.67

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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.