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Finding the Fourth Proportional to 419.14, 628.83 and 419.14

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Solution

The fourth proportional to 419.14, 628.83 and 419.14 is: 628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.14 : 628.83 = 419.14 : x
  2. Step 2: Convert to fraction form
    419.14/628.83 = 419.14/x
  3. Step 3: Cross multiply
    419.14x = 628.83 × 419.14
  4. Step 4: Simplify right side
    419.14x = 263,567.81
  5. Step 5: Solve for x
    x = 263,567.81/419.14
  6. Step 6: Final answer
    x = 628.83

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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.