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Finding the Fourth Proportional to 348.50, 519.92 and 338.58

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Solution

The fourth proportional to 348.50, 519.92 and 338.58 is: 505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.50 : 519.92 = 338.58 : x
  2. Step 2: Convert to fraction form
    348.50/519.92 = 338.58/x
  3. Step 3: Cross multiply
    348.50x = 519.92 × 338.58
  4. Step 4: Simplify right side
    348.50x = 176,034.09
  5. Step 5: Solve for x
    x = 176,034.09/348.50
  6. Step 6: Final answer
    x = 505.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.