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Finding the Fourth Proportional to 441.76, 609.34 and 294.34

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Solution

The fourth proportional to 441.76, 609.34 and 294.34 is: 406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.76 : 609.34 = 294.34 : x
  2. Step 2: Convert to fraction form
    441.76/609.34 = 294.34/x
  3. Step 3: Cross multiply
    441.76x = 609.34 × 294.34
  4. Step 4: Simplify right side
    441.76x = 179,353.14
  5. Step 5: Solve for x
    x = 179,353.14/441.76
  6. Step 6: Final answer
    x = 406.00

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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.