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Finding the Fourth Proportional to 778, 1,073.58 and 428.64

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Solution

The fourth proportional to 778, 1,073.58 and 428.64 is: 591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    778 : 1,073.58 = 428.64 : x
  2. Step 2: Convert to fraction form
    778/1,073.58 = 428.64/x
  3. Step 3: Cross multiply
    778x = 1,073.58 × 428.64
  4. Step 4: Simplify right side
    778x = 460,179.33
  5. Step 5: Solve for x
    x = 460,179.33/778
  6. Step 6: Final answer
    x = 591.49

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