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Finding the Fourth Proportional to 419.76, 579.12 and 295.16

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Solution

The fourth proportional to 419.76, 579.12 and 295.16 is: 407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 579.12 = 295.16 : x
  2. Step 2: Convert to fraction form
    419.76/579.12 = 295.16/x
  3. Step 3: Cross multiply
    419.76x = 579.12 × 295.16
  4. Step 4: Simplify right side
    419.76x = 170,930.16
  5. Step 5: Solve for x
    x = 170,930.16/419.76
  6. Step 6: Final answer
    x = 407.21

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