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Finding the Fourth Proportional to 522.42, 783.69 and 175.74

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Solution

The fourth proportional to 522.42, 783.69 and 175.74 is: 263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.42 : 783.69 = 175.74 : x
  2. Step 2: Convert to fraction form
    522.42/783.69 = 175.74/x
  3. Step 3: Cross multiply
    522.42x = 783.69 × 175.74
  4. Step 4: Simplify right side
    522.42x = 137,725.68
  5. Step 5: Solve for x
    x = 137,725.68/522.42
  6. Step 6: Final answer
    x = 263.63

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