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Finding the Fourth Proportional to 444.20, 665.03 and 429.62

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Solution

The fourth proportional to 444.20, 665.03 and 429.62 is: 643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.20 : 665.03 = 429.62 : x
  2. Step 2: Convert to fraction form
    444.20/665.03 = 429.62/x
  3. Step 3: Cross multiply
    444.20x = 665.03 × 429.62
  4. Step 4: Simplify right side
    444.20x = 285,709.26
  5. Step 5: Solve for x
    x = 285,709.26/444.20
  6. Step 6: Final answer
    x = 643.20

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