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Finding the Fourth Proportional to 348.76, 522.26 and 338.50

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Solution

The fourth proportional to 348.76, 522.26 and 338.50 is: 506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.76 : 522.26 = 338.50 : x
  2. Step 2: Convert to fraction form
    348.76/522.26 = 338.50/x
  3. Step 3: Cross multiply
    348.76x = 522.26 × 338.50
  4. Step 4: Simplify right side
    348.76x = 176,785.01
  5. Step 5: Solve for x
    x = 176,785.01/348.76
  6. Step 6: Final answer
    x = 506.90

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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.