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Finding the Fourth Proportional to 324.30, 485.87 and 177.89

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Solution

The fourth proportional to 324.30, 485.87 and 177.89 is: 266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.30 : 485.87 = 177.89 : x
  2. Step 2: Convert to fraction form
    324.30/485.87 = 177.89/x
  3. Step 3: Cross multiply
    324.30x = 485.87 × 177.89
  4. Step 4: Simplify right side
    324.30x = 86,432.18
  5. Step 5: Solve for x
    x = 86,432.18/324.30
  6. Step 6: Final answer
    x = 266.52

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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.