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Finding the Fourth Proportional to 348.06, 519.23 and 322.26

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Solution

The fourth proportional to 348.06, 519.23 and 322.26 is: 480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.06 : 519.23 = 322.26 : x
  2. Step 2: Convert to fraction form
    348.06/519.23 = 322.26/x
  3. Step 3: Cross multiply
    348.06x = 519.23 × 322.26
  4. Step 4: Simplify right side
    348.06x = 167,327.06
  5. Step 5: Solve for x
    x = 167,327.06/348.06
  6. Step 6: Final answer
    x = 480.74

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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.