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Finding the Fourth Proportional to 448.56, 671.96 and 204.64

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Solution

The fourth proportional to 448.56, 671.96 and 204.64 is: 306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.56 : 671.96 = 204.64 : x
  2. Step 2: Convert to fraction form
    448.56/671.96 = 204.64/x
  3. Step 3: Cross multiply
    448.56x = 671.96 × 204.64
  4. Step 4: Simplify right side
    448.56x = 137,509.89
  5. Step 5: Solve for x
    x = 137,509.89/448.56
  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.