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Finding the Fourth Proportional to 419.34, 628.91 and 175.74

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Solution

The fourth proportional to 419.34, 628.91 and 175.74 is: 263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.34 : 628.91 = 175.74 : x
  2. Step 2: Convert to fraction form
    419.34/628.91 = 175.74/x
  3. Step 3: Cross multiply
    419.34x = 628.91 × 175.74
  4. Step 4: Simplify right side
    419.34x = 110,524.64
  5. Step 5: Solve for x
    x = 110,524.64/419.34
  6. Step 6: Final answer
    x = 263.57

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