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Finding the Fourth Proportional to 628.14, 941.94 and 339.78

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Solution

The fourth proportional to 628.14, 941.94 and 339.78 is: 509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.14 : 941.94 = 339.78 : x
  2. Step 2: Convert to fraction form
    628.14/941.94 = 339.78/x
  3. Step 3: Cross multiply
    628.14x = 941.94 × 339.78
  4. Step 4: Simplify right side
    628.14x = 320,052.37
  5. Step 5: Solve for x
    x = 320,052.37/628.14
  6. Step 6: Final answer
    x = 509.52

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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.