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Finding the Fourth Proportional to 444.64, 666.94 and 120.01

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Solution

The fourth proportional to 444.64, 666.94 and 120.01 is: 180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.64 : 666.94 = 120.01 : x
  2. Step 2: Convert to fraction form
    444.64/666.94 = 120.01/x
  3. Step 3: Cross multiply
    444.64x = 666.94 × 120.01
  4. Step 4: Simplify right side
    444.64x = 80,039.47
  5. Step 5: Solve for x
    x = 80,039.47/444.64
  6. Step 6: Final answer
    x = 180.01

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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.