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Finding the Fourth Proportional to 342.70, 514.26 and 330.15

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Solution

The fourth proportional to 342.70, 514.26 and 330.15 is: 495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.70 : 514.26 = 330.15 : x
  2. Step 2: Convert to fraction form
    342.70/514.26 = 330.15/x
  3. Step 3: Cross multiply
    342.70x = 514.26 × 330.15
  4. Step 4: Simplify right side
    342.70x = 169,782.94
  5. Step 5: Solve for x
    x = 169,782.94/342.70
  6. Step 6: Final answer
    x = 495.43

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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.