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Finding the Fourth Proportional to 434.03, 650.49 and 217.67

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Solution

The fourth proportional to 434.03, 650.49 and 217.67 is: 326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.03 : 650.49 = 217.67 : x
  2. Step 2: Convert to fraction form
    434.03/650.49 = 217.67/x
  3. Step 3: Cross multiply
    434.03x = 650.49 × 217.67
  4. Step 4: Simplify right side
    434.03x = 141,588.91
  5. Step 5: Solve for x
    x = 141,588.91/434.03
  6. Step 6: Final answer
    x = 326.22

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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.