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Finding the Fourth Proportional to 324.90, 445.67 and 316.80

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Solution

The fourth proportional to 324.90, 445.67 and 316.80 is: 434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.90 : 445.67 = 316.80 : x
  2. Step 2: Convert to fraction form
    324.90/445.67 = 316.80/x
  3. Step 3: Cross multiply
    324.90x = 445.67 × 316.80
  4. Step 4: Simplify right side
    324.90x = 141,186.67
  5. Step 5: Solve for x
    x = 141,186.67/324.90
  6. Step 6: Final answer
    x = 434.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.