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Finding the Fourth Proportional to 419.07, 628.81 and 188.12

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Solution

The fourth proportional to 419.07, 628.81 and 188.12 is: 282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.07 : 628.81 = 188.12 : x
  2. Step 2: Convert to fraction form
    419.07/628.81 = 188.12/x
  3. Step 3: Cross multiply
    419.07x = 628.81 × 188.12
  4. Step 4: Simplify right side
    419.07x = 118,287.65
  5. Step 5: Solve for x
    x = 118,287.65/419.07
  6. Step 6: Final answer
    x = 282.27

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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.