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Finding the Fourth Proportional to 419.30, 628.52 and 213.74

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Solution

The fourth proportional to 419.30, 628.52 and 213.74 is: 320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.30 : 628.52 = 213.74 : x
  2. Step 2: Convert to fraction form
    419.30/628.52 = 213.74/x
  3. Step 3: Cross multiply
    419.30x = 628.52 × 213.74
  4. Step 4: Simplify right side
    419.30x = 134,339.86
  5. Step 5: Solve for x
    x = 134,339.86/419.30
  6. Step 6: Final answer
    x = 320.39

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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.