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Finding the Fourth Proportional to 441.46, 609.24 and 301.60

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Solution

The fourth proportional to 441.46, 609.24 and 301.60 is: 416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.46 : 609.24 = 301.60 : x
  2. Step 2: Convert to fraction form
    441.46/609.24 = 301.60/x
  3. Step 3: Cross multiply
    441.46x = 609.24 × 301.60
  4. Step 4: Simplify right side
    441.46x = 183,746.78
  5. Step 5: Solve for x
    x = 183,746.78/441.46
  6. Step 6: Final answer
    x = 416.23

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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.