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Finding the Fourth Proportional to 448.16, 671.97 and 204.46

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Solution

The fourth proportional to 448.16, 671.97 and 204.46 is: 306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.16 : 671.97 = 204.46 : x
  2. Step 2: Convert to fraction form
    448.16/671.97 = 204.46/x
  3. Step 3: Cross multiply
    448.16x = 671.97 × 204.46
  4. Step 4: Simplify right side
    448.16x = 137,387.63
  5. Step 5: Solve for x
    x = 137,387.63/448.16
  6. Step 6: Final answer
    x = 306.56

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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.