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Finding the Fourth Proportional to 348.22, 480.62 and 313.19

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Solution

The fourth proportional to 348.22, 480.62 and 313.19 is: 432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.22 : 480.62 = 313.19 : x
  2. Step 2: Convert to fraction form
    348.22/480.62 = 313.19/x
  3. Step 3: Cross multiply
    348.22x = 480.62 × 313.19
  4. Step 4: Simplify right side
    348.22x = 150,523.76
  5. Step 5: Solve for x
    x = 150,523.76/348.22
  6. Step 6: Final answer
    x = 432.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.