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Finding the Fourth Proportional to 486.26, 670.65 and 412.82

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Solution

The fourth proportional to 486.26, 670.65 and 412.82 is: 569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.26 : 670.65 = 412.82 : x
  2. Step 2: Convert to fraction form
    486.26/670.65 = 412.82/x
  3. Step 3: Cross multiply
    486.26x = 670.65 × 412.82
  4. Step 4: Simplify right side
    486.26x = 276,857.73
  5. Step 5: Solve for x
    x = 276,857.73/486.26
  6. Step 6: Final answer
    x = 569.36

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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.