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Finding the Fourth Proportional to 448.03, 671.53 and 173.97

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Solution

The fourth proportional to 448.03, 671.53 and 173.97 is: 260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.03 : 671.53 = 173.97 : x
  2. Step 2: Convert to fraction form
    448.03/671.53 = 173.97/x
  3. Step 3: Cross multiply
    448.03x = 671.53 × 173.97
  4. Step 4: Simplify right side
    448.03x = 116,826.07
  5. Step 5: Solve for x
    x = 116,826.07/448.03
  6. Step 6: Final answer
    x = 260.76

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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.