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Finding the Fourth Proportional to 504.78, 696.48 and 305.64

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Solution

The fourth proportional to 504.78, 696.48 and 305.64 is: 421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.78 : 696.48 = 305.64 : x
  2. Step 2: Convert to fraction form
    504.78/696.48 = 305.64/x
  3. Step 3: Cross multiply
    504.78x = 696.48 × 305.64
  4. Step 4: Simplify right side
    504.78x = 212,872.15
  5. Step 5: Solve for x
    x = 212,872.15/504.78
  6. Step 6: Final answer
    x = 421.71

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