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Finding the Fourth Proportional to 419.08, 628.66 and 145.08

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Solution

The fourth proportional to 419.08, 628.66 and 145.08 is: 217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.08 : 628.66 = 145.08 : x
  2. Step 2: Convert to fraction form
    419.08/628.66 = 145.08/x
  3. Step 3: Cross multiply
    419.08x = 628.66 × 145.08
  4. Step 4: Simplify right side
    419.08x = 91,205.99
  5. Step 5: Solve for x
    x = 91,205.99/419.08
  6. Step 6: Final answer
    x = 217.63

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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.