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Finding the Fourth Proportional to 447.38, 670.67 and 173.67

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Solution

The fourth proportional to 447.38, 670.67 and 173.67 is: 260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.38 : 670.67 = 173.67 : x
  2. Step 2: Convert to fraction form
    447.38/670.67 = 173.67/x
  3. Step 3: Cross multiply
    447.38x = 670.67 × 173.67
  4. Step 4: Simplify right side
    447.38x = 116,475.26
  5. Step 5: Solve for x
    x = 116,475.26/447.38
  6. Step 6: Final answer
    x = 260.35

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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.