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Finding the Fourth Proportional to 447.96, 671.16 and 242.67

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Solution

The fourth proportional to 447.96, 671.16 and 242.67 is: 363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.96 : 671.16 = 242.67 : x
  2. Step 2: Convert to fraction form
    447.96/671.16 = 242.67/x
  3. Step 3: Cross multiply
    447.96x = 671.16 × 242.67
  4. Step 4: Simplify right side
    447.96x = 162,870.40
  5. Step 5: Solve for x
    x = 162,870.40/447.96
  6. Step 6: Final answer
    x = 363.58

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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.