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Finding the Fourth Proportional to 324.29, 485.51 and 298.77

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Solution

The fourth proportional to 324.29, 485.51 and 298.77 is: 447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.29 : 485.51 = 298.77 : x
  2. Step 2: Convert to fraction form
    324.29/485.51 = 298.77/x
  3. Step 3: Cross multiply
    324.29x = 485.51 × 298.77
  4. Step 4: Simplify right side
    324.29x = 145,056.57
  5. Step 5: Solve for x
    x = 145,056.57/324.29
  6. Step 6: Final answer
    x = 447.31

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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.