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Finding the Fourth Proportional to 471.24, 705.36 and 340.80

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Solution

The fourth proportional to 471.24, 705.36 and 340.80 is: 510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.24 : 705.36 = 340.80 : x
  2. Step 2: Convert to fraction form
    471.24/705.36 = 340.80/x
  3. Step 3: Cross multiply
    471.24x = 705.36 × 340.80
  4. Step 4: Simplify right side
    471.24x = 240,386.69
  5. Step 5: Solve for x
    x = 240,386.69/471.24
  6. Step 6: Final answer
    x = 510.12

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