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Finding the Fourth Proportional to 491.05, 677.73 and 294.67

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Solution

The fourth proportional to 491.05, 677.73 and 294.67 is: 406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.05 : 677.73 = 294.67 : x
  2. Step 2: Convert to fraction form
    491.05/677.73 = 294.67/x
  3. Step 3: Cross multiply
    491.05x = 677.73 × 294.67
  4. Step 4: Simplify right side
    491.05x = 199,706.70
  5. Step 5: Solve for x
    x = 199,706.70/491.05
  6. Step 6: Final answer
    x = 406.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.