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Finding the Fourth Proportional to 324.09, 485.73 and 315.99

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Solution

The fourth proportional to 324.09, 485.73 and 315.99 is: 473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.09 : 485.73 = 315.99 : x
  2. Step 2: Convert to fraction form
    324.09/485.73 = 315.99/x
  3. Step 3: Cross multiply
    324.09x = 485.73 × 315.99
  4. Step 4: Simplify right side
    324.09x = 153,485.82
  5. Step 5: Solve for x
    x = 153,485.82/324.09
  6. Step 6: Final answer
    x = 473.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.