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Finding the Fourth Proportional to 486.99, 671.78 and 300.47

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Solution

The fourth proportional to 486.99, 671.78 and 300.47 is: 414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.99 : 671.78 = 300.47 : x
  2. Step 2: Convert to fraction form
    486.99/671.78 = 300.47/x
  3. Step 3: Cross multiply
    486.99x = 671.78 × 300.47
  4. Step 4: Simplify right side
    486.99x = 201,847.13
  5. Step 5: Solve for x
    x = 201,847.13/486.99
  6. Step 6: Final answer
    x = 414.48

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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.