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Finding the Fourth Proportional to 441.78, 609.54 and 301.74

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Solution

The fourth proportional to 441.78, 609.54 and 301.74 is: 416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.78 : 609.54 = 301.74 : x
  2. Step 2: Convert to fraction form
    441.78/609.54 = 301.74/x
  3. Step 3: Cross multiply
    441.78x = 609.54 × 301.74
  4. Step 4: Simplify right side
    441.78x = 183,922.60
  5. Step 5: Solve for x
    x = 183,922.60/441.78
  6. Step 6: Final answer
    x = 416.32

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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.