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Finding the Fourth Proportional to 348.44, 522.28 and 175.23

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Solution

The fourth proportional to 348.44, 522.28 and 175.23 is: 262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.44 : 522.28 = 175.23 : x
  2. Step 2: Convert to fraction form
    348.44/522.28 = 175.23/x
  3. Step 3: Cross multiply
    348.44x = 522.28 × 175.23
  4. Step 4: Simplify right side
    348.44x = 91,519.34
  5. Step 5: Solve for x
    x = 91,519.34/348.44
  6. Step 6: Final answer
    x = 262.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.