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Finding the Fourth Proportional to 348.10, 480.44 and 265.08

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Solution

The fourth proportional to 348.10, 480.44 and 265.08 is: 365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.10 : 480.44 = 265.08 : x
  2. Step 2: Convert to fraction form
    348.10/480.44 = 265.08/x
  3. Step 3: Cross multiply
    348.10x = 480.44 × 265.08
  4. Step 4: Simplify right side
    348.10x = 127,355.04
  5. Step 5: Solve for x
    x = 127,355.04/348.10
  6. Step 6: Final answer
    x = 365.86

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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.