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Finding the Fourth Proportional to 448.58, 673.14 and 174.80

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Solution

The fourth proportional to 448.58, 673.14 and 174.80 is: 262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.58 : 673.14 = 174.80 : x
  2. Step 2: Convert to fraction form
    448.58/673.14 = 174.80/x
  3. Step 3: Cross multiply
    448.58x = 673.14 × 174.80
  4. Step 4: Simplify right side
    448.58x = 117,664.87
  5. Step 5: Solve for x
    x = 117,664.87/448.58
  6. Step 6: Final answer
    x = 262.31

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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.