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Finding the Fourth Proportional to 488.69, 674.14 and 331.33

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Solution

The fourth proportional to 488.69, 674.14 and 331.33 is: 457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.69 : 674.14 = 331.33 : x
  2. Step 2: Convert to fraction form
    488.69/674.14 = 331.33/x
  3. Step 3: Cross multiply
    488.69x = 674.14 × 331.33
  4. Step 4: Simplify right side
    488.69x = 223,362.81
  5. Step 5: Solve for x
    x = 223,362.81/488.69
  6. Step 6: Final answer
    x = 457.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.