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Finding the Fourth Proportional to 324.30, 447.52 and 277.60

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Solution

The fourth proportional to 324.30, 447.52 and 277.60 is: 383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.30 : 447.52 = 277.60 : x
  2. Step 2: Convert to fraction form
    324.30/447.52 = 277.60/x
  3. Step 3: Cross multiply
    324.30x = 447.52 × 277.60
  4. Step 4: Simplify right side
    324.30x = 124,231.55
  5. Step 5: Solve for x
    x = 124,231.55/324.30
  6. Step 6: Final answer
    x = 383.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.