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Finding the Fourth Proportional to 419.68, 628.96 and 213.76

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Solution

The fourth proportional to 419.68, 628.96 and 213.76 is: 320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.68 : 628.96 = 213.76 : x
  2. Step 2: Convert to fraction form
    419.68/628.96 = 213.76/x
  3. Step 3: Cross multiply
    419.68x = 628.96 × 213.76
  4. Step 4: Simplify right side
    419.68x = 134,446.49
  5. Step 5: Solve for x
    x = 134,446.49/419.68
  6. Step 6: Final answer
    x = 320.35

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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.