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Finding the Fourth Proportional to 348.40, 522.24 and 204.40

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Solution

The fourth proportional to 348.40, 522.24 and 204.40 is: 306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.40 : 522.24 = 204.40 : x
  2. Step 2: Convert to fraction form
    348.40/522.24 = 204.40/x
  3. Step 3: Cross multiply
    348.40x = 522.24 × 204.40
  4. Step 4: Simplify right side
    348.40x = 106,745.86
  5. Step 5: Solve for x
    x = 106,745.86/348.40
  6. Step 6: Final answer
    x = 306.39

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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.