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Finding the Fourth Proportional to 441.16, 609.08 and 301.51

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Solution

The fourth proportional to 441.16, 609.08 and 301.51 is: 416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.16 : 609.08 = 301.51 : x
  2. Step 2: Convert to fraction form
    441.16/609.08 = 301.51/x
  3. Step 3: Cross multiply
    441.16x = 609.08 × 301.51
  4. Step 4: Simplify right side
    441.16x = 183,639.16
  5. Step 5: Solve for x
    x = 183,639.16/441.16
  6. Step 6: Final answer
    x = 416.27

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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.