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Finding the Fourth Proportional to 441.85, 609.77 and 275.93

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Solution

The fourth proportional to 441.85, 609.77 and 275.93 is: 380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.85 : 609.77 = 275.93 : x
  2. Step 2: Convert to fraction form
    441.85/609.77 = 275.93/x
  3. Step 3: Cross multiply
    441.85x = 609.77 × 275.93
  4. Step 4: Simplify right side
    441.85x = 168,252.46
  5. Step 5: Solve for x
    x = 168,252.46/441.85
  6. Step 6: Final answer
    x = 380.80

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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.