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Finding the Fourth Proportional to 348.06, 519.03 and 306.75

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Solution

The fourth proportional to 348.06, 519.03 and 306.75 is: 457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.06 : 519.03 = 306.75 : x
  2. Step 2: Convert to fraction form
    348.06/519.03 = 306.75/x
  3. Step 3: Cross multiply
    348.06x = 519.03 × 306.75
  4. Step 4: Simplify right side
    348.06x = 159,212.45
  5. Step 5: Solve for x
    x = 159,212.45/348.06
  6. Step 6: Final answer
    x = 457.43

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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.