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Finding the Fourth Proportional to 486.14, 670.64 and 299.25

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Solution

The fourth proportional to 486.14, 670.64 and 299.25 is: 412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.14 : 670.64 = 299.25 : x
  2. Step 2: Convert to fraction form
    486.14/670.64 = 299.25/x
  3. Step 3: Cross multiply
    486.14x = 670.64 × 299.25
  4. Step 4: Simplify right side
    486.14x = 200,687.52
  5. Step 5: Solve for x
    x = 200,687.52/486.14
  6. Step 6: Final answer
    x = 412.82

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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.