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Finding the Fourth Proportional to 448.51, 674.13 and 438.94

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Solution

The fourth proportional to 448.51, 674.13 and 438.94 is: 659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.51 : 674.13 = 438.94 : x
  2. Step 2: Convert to fraction form
    448.51/674.13 = 438.94/x
  3. Step 3: Cross multiply
    448.51x = 674.13 × 438.94
  4. Step 4: Simplify right side
    448.51x = 295,902.62
  5. Step 5: Solve for x
    x = 295,902.62/448.51
  6. Step 6: Final answer
    x = 659.75

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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.