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Finding the Fourth Proportional to 448.37, 672.83 and 174.49

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Solution

The fourth proportional to 448.37, 672.83 and 174.49 is: 261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.37 : 672.83 = 174.49 : x
  2. Step 2: Convert to fraction form
    448.37/672.83 = 174.49/x
  3. Step 3: Cross multiply
    448.37x = 672.83 × 174.49
  4. Step 4: Simplify right side
    448.37x = 117,402.11
  5. Step 5: Solve for x
    x = 117,402.11/448.37
  6. Step 6: Final answer
    x = 261.84

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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.