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Finding the Fourth Proportional to 448.90, 673.90 and 254.07

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Solution

The fourth proportional to 448.90, 673.90 and 254.07 is: 381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.90 : 673.90 = 254.07 : x
  2. Step 2: Convert to fraction form
    448.90/673.90 = 254.07/x
  3. Step 3: Cross multiply
    448.90x = 673.90 × 254.07
  4. Step 4: Simplify right side
    448.90x = 171,217.77
  5. Step 5: Solve for x
    x = 171,217.77/448.90
  6. Step 6: Final answer
    x = 381.42

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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.