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Finding the Fourth Proportional to 866.93, 1,300.39 and 217.67

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Solution

The fourth proportional to 866.93, 1,300.39 and 217.67 is: 326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.93 : 1,300.39 = 217.67 : x
  2. Step 2: Convert to fraction form
    866.93/1,300.39 = 217.67/x
  3. Step 3: Cross multiply
    866.93x = 1,300.39 × 217.67
  4. Step 4: Simplify right side
    866.93x = 283,048.85
  5. Step 5: Solve for x
    x = 283,048.85/866.93
  6. Step 6: Final answer
    x = 326.49

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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.