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Finding the Fourth Proportional to 343.06, 514.09 and 260.44

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Solution

The fourth proportional to 343.06, 514.09 and 260.44 is: 390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.06 : 514.09 = 260.44 : x
  2. Step 2: Convert to fraction form
    343.06/514.09 = 260.44/x
  3. Step 3: Cross multiply
    343.06x = 514.09 × 260.44
  4. Step 4: Simplify right side
    343.06x = 133,889.60
  5. Step 5: Solve for x
    x = 133,889.60/343.06
  6. Step 6: Final answer
    x = 390.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.