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Finding the Fourth Proportional to 443.36, 665.28 and 155.04

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Solution

The fourth proportional to 443.36, 665.28 and 155.04 is: 232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.36 : 665.28 = 155.04 : x
  2. Step 2: Convert to fraction form
    443.36/665.28 = 155.04/x
  3. Step 3: Cross multiply
    443.36x = 665.28 × 155.04
  4. Step 4: Simplify right side
    443.36x = 103,145.01
  5. Step 5: Solve for x
    x = 103,145.01/443.36
  6. Step 6: Final answer
    x = 232.64

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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.