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Finding the Fourth Proportional to 419.33, 578.75 and 314.94

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Solution

The fourth proportional to 419.33, 578.75 and 314.94 is: 434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.33 : 578.75 = 314.94 : x
  2. Step 2: Convert to fraction form
    419.33/578.75 = 314.94/x
  3. Step 3: Cross multiply
    419.33x = 578.75 × 314.94
  4. Step 4: Simplify right side
    419.33x = 182,268.87
  5. Step 5: Solve for x
    x = 182,268.87/419.33
  6. Step 6: Final answer
    x = 434.67

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