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Finding the Fourth Proportional to 309.30, 427.44 and 260.08

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Solution

The fourth proportional to 309.30, 427.44 and 260.08 is: 359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.30 : 427.44 = 260.08 : x
  2. Step 2: Convert to fraction form
    309.30/427.44 = 260.08/x
  3. Step 3: Cross multiply
    309.30x = 427.44 × 260.08
  4. Step 4: Simplify right side
    309.30x = 111,168.60
  5. Step 5: Solve for x
    x = 111,168.60/309.30
  6. Step 6: Final answer
    x = 359.42

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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.