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Finding the Fourth Proportional to 440.94, 608.34 and 275.09

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Solution

The fourth proportional to 440.94, 608.34 and 275.09 is: 379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.94 : 608.34 = 275.09 : x
  2. Step 2: Convert to fraction form
    440.94/608.34 = 275.09/x
  3. Step 3: Cross multiply
    440.94x = 608.34 × 275.09
  4. Step 4: Simplify right side
    440.94x = 167,348.25
  5. Step 5: Solve for x
    x = 167,348.25/440.94
  6. Step 6: Final answer
    x = 379.53

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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.