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Finding the Fourth Proportional to 960.21, 1,440.32 and 383.09

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Solution

The fourth proportional to 960.21, 1,440.32 and 383.09 is: 574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.21 : 1,440.32 = 383.09 : x
  2. Step 2: Convert to fraction form
    960.21/1,440.32 = 383.09/x
  3. Step 3: Cross multiply
    960.21x = 1,440.32 × 383.09
  4. Step 4: Simplify right side
    960.21x = 551,772.19
  5. Step 5: Solve for x
    x = 551,772.19/960.21
  6. Step 6: Final answer
    x = 574.64

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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.