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Finding the Fourth Proportional to 485.73, 670.31 and 264.68

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Solution

The fourth proportional to 485.73, 670.31 and 264.68 is: 365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.73 : 670.31 = 264.68 : x
  2. Step 2: Convert to fraction form
    485.73/670.31 = 264.68/x
  3. Step 3: Cross multiply
    485.73x = 670.31 × 264.68
  4. Step 4: Simplify right side
    485.73x = 177,412.98
  5. Step 5: Solve for x
    x = 177,412.98/485.73
  6. Step 6: Final answer
    x = 365.25

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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.