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Finding the Fourth Proportional to 348.01, 480.26 and 230.09

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Solution

The fourth proportional to 348.01, 480.26 and 230.09 is: 317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.01 : 480.26 = 230.09 : x
  2. Step 2: Convert to fraction form
    348.01/480.26 = 230.09/x
  3. Step 3: Cross multiply
    348.01x = 480.26 × 230.09
  4. Step 4: Simplify right side
    348.01x = 110,501.20
  5. Step 5: Solve for x
    x = 110,501.20/348.01
  6. Step 6: Final answer
    x = 317.53

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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.