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Finding the Fourth Proportional to 448.70, 673.12 and 217.74

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Solution

The fourth proportional to 448.70, 673.12 and 217.74 is: 326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.70 : 673.12 = 217.74 : x
  2. Step 2: Convert to fraction form
    448.70/673.12 = 217.74/x
  3. Step 3: Cross multiply
    448.70x = 673.12 × 217.74
  4. Step 4: Simplify right side
    448.70x = 146,567.95
  5. Step 5: Solve for x
    x = 146,567.95/448.70
  6. Step 6: Final answer
    x = 326.65

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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.