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Finding the Fourth Proportional to 486.44, 671.70 and 309.68

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Solution

The fourth proportional to 486.44, 671.70 and 309.68 is: 427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.44 : 671.70 = 309.68 : x
  2. Step 2: Convert to fraction form
    486.44/671.70 = 309.68/x
  3. Step 3: Cross multiply
    486.44x = 671.70 × 309.68
  4. Step 4: Simplify right side
    486.44x = 208,012.06
  5. Step 5: Solve for x
    x = 208,012.06/486.44
  6. Step 6: Final answer
    x = 427.62

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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.