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Finding the Fourth Proportional to 448.08, 671.46 and 311.22

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Solution

The fourth proportional to 448.08, 671.46 and 311.22 is: 466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.08 : 671.46 = 311.22 : x
  2. Step 2: Convert to fraction form
    448.08/671.46 = 311.22/x
  3. Step 3: Cross multiply
    448.08x = 671.46 × 311.22
  4. Step 4: Simplify right side
    448.08x = 208,971.78
  5. Step 5: Solve for x
    x = 208,971.78/448.08
  6. Step 6: Final answer
    x = 466.37

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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.