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Finding the Fourth Proportional to 419, 628.30 and 145.00

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Solution

The fourth proportional to 419, 628.30 and 145.00 is: 217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419 : 628.30 = 145.00 : x
  2. Step 2: Convert to fraction form
    419/628.30 = 145.00/x
  3. Step 3: Cross multiply
    419x = 628.30 × 145.00
  4. Step 4: Simplify right side
    419x = 91,099.63
  5. Step 5: Solve for x
    x = 91,099.63/419
  6. Step 6: Final answer
    x = 217.42

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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.