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Finding the Fourth Proportional to 419.73, 628.42 and 316.69

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Solution

The fourth proportional to 419.73, 628.42 and 316.69 is: 474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.73 : 628.42 = 316.69 : x
  2. Step 2: Convert to fraction form
    419.73/628.42 = 316.69/x
  3. Step 3: Cross multiply
    419.73x = 628.42 × 316.69
  4. Step 4: Simplify right side
    419.73x = 199,014.33
  5. Step 5: Solve for x
    x = 199,014.33/419.73
  6. Step 6: Final answer
    x = 474.15

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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.