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Finding the Fourth Proportional to 324.60, 485.74 and 302.88

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Solution

The fourth proportional to 324.60, 485.74 and 302.88 is: 453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.60 : 485.74 = 302.88 : x
  2. Step 2: Convert to fraction form
    324.60/485.74 = 302.88/x
  3. Step 3: Cross multiply
    324.60x = 485.74 × 302.88
  4. Step 4: Simplify right side
    324.60x = 147,116.99
  5. Step 5: Solve for x
    x = 147,116.99/324.60
  6. Step 6: Final answer
    x = 453.23

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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.