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Finding the Fourth Proportional to 448.67, 671.68 and 294.09

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Solution

The fourth proportional to 448.67, 671.68 and 294.09 is: 440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.67 : 671.68 = 294.09 : x
  2. Step 2: Convert to fraction form
    448.67/671.68 = 294.09/x
  3. Step 3: Cross multiply
    448.67x = 671.68 × 294.09
  4. Step 4: Simplify right side
    448.67x = 197,534.37
  5. Step 5: Solve for x
    x = 197,534.37/448.67
  6. Step 6: Final answer
    x = 440.27

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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.