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Finding the Fourth Proportional to 348.10, 522.28 and 271.16

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Solution

The fourth proportional to 348.10, 522.28 and 271.16 is: 406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.10 : 522.28 = 271.16 : x
  2. Step 2: Convert to fraction form
    348.10/522.28 = 271.16/x
  3. Step 3: Cross multiply
    348.10x = 522.28 × 271.16
  4. Step 4: Simplify right side
    348.10x = 141,621.44
  5. Step 5: Solve for x
    x = 141,621.44/348.10
  6. Step 6: Final answer
    x = 406.84

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Why These Related Problems?

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