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Finding the Fourth Proportional to 348.92, 522.30 and 233.46

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Solution

The fourth proportional to 348.92, 522.30 and 233.46 is: 349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.92 : 522.30 = 233.46 : x
  2. Step 2: Convert to fraction form
    348.92/522.30 = 233.46/x
  3. Step 3: Cross multiply
    348.92x = 522.30 × 233.46
  4. Step 4: Simplify right side
    348.92x = 121,936.16
  5. Step 5: Solve for x
    x = 121,936.16/348.92
  6. Step 6: Final answer
    x = 349.47

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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.