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Finding the Fourth Proportional to 419.48, 628.91 and 188.48

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Solution

The fourth proportional to 419.48, 628.91 and 188.48 is: 282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 628.91 = 188.48 : x
  2. Step 2: Convert to fraction form
    419.48/628.91 = 188.48/x
  3. Step 3: Cross multiply
    419.48x = 628.91 × 188.48
  4. Step 4: Simplify right side
    419.48x = 118,535.82
  5. Step 5: Solve for x
    x = 118,535.82/419.48
  6. Step 6: Final answer
    x = 282.58

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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.