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Finding the Fourth Proportional to 914.37, 1,370.94 and 329.07

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Solution

The fourth proportional to 914.37, 1,370.94 and 329.07 is: 493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.37 : 1,370.94 = 329.07 : x
  2. Step 2: Convert to fraction form
    914.37/1,370.94 = 329.07/x
  3. Step 3: Cross multiply
    914.37x = 1,370.94 × 329.07
  4. Step 4: Simplify right side
    914.37x = 451,135.23
  5. Step 5: Solve for x
    x = 451,135.23/914.37
  6. Step 6: Final answer
    x = 493.38

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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.