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Finding the Fourth Proportional to 444.51, 668.02 and 301.23

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Solution

The fourth proportional to 444.51, 668.02 and 301.23 is: 452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.51 : 668.02 = 301.23 : x
  2. Step 2: Convert to fraction form
    444.51/668.02 = 301.23/x
  3. Step 3: Cross multiply
    444.51x = 668.02 × 301.23
  4. Step 4: Simplify right side
    444.51x = 201,224.32
  5. Step 5: Solve for x
    x = 201,224.32/444.51
  6. Step 6: Final answer
    x = 452.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.