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Finding the Fourth Proportional to 447.65, 671.81 and 204.35

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Solution

The fourth proportional to 447.65, 671.81 and 204.35 is: 306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.65 : 671.81 = 204.35 : x
  2. Step 2: Convert to fraction form
    447.65/671.81 = 204.35/x
  3. Step 3: Cross multiply
    447.65x = 671.81 × 204.35
  4. Step 4: Simplify right side
    447.65x = 137,281.14
  5. Step 5: Solve for x
    x = 137,281.14/447.65
  6. Step 6: Final answer
    x = 306.67

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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.