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Finding the Fourth Proportional to 480, 662.40 and 296

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Solution

The fourth proportional to 480, 662.40 and 296 is: 408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    480 : 662.40 = 296 : x
  2. Step 2: Convert to fraction form
    480/662.40 = 296/x
  3. Step 3: Cross multiply
    480x = 662.40 × 296
  4. Step 4: Simplify right side
    480x = 196,070.40
  5. Step 5: Solve for x
    x = 196,070.40/480
  6. Step 6: Final answer
    x = 408.48

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