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Finding the Fourth Proportional to 434.14, 650.56 and 214.70

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Solution

The fourth proportional to 434.14, 650.56 and 214.70 is: 321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.14 : 650.56 = 214.70 : x
  2. Step 2: Convert to fraction form
    434.14/650.56 = 214.70/x
  3. Step 3: Cross multiply
    434.14x = 650.56 × 214.70
  4. Step 4: Simplify right side
    434.14x = 139,675.23
  5. Step 5: Solve for x
    x = 139,675.23/434.14
  6. Step 6: Final answer
    x = 321.73

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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.