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Finding the Fourth Proportional to 324, 447.84 and 277.44

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Solution

The fourth proportional to 324, 447.84 and 277.44 is: 383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324 : 447.84 = 277.44 : x
  2. Step 2: Convert to fraction form
    324/447.84 = 277.44/x
  3. Step 3: Cross multiply
    324x = 447.84 × 277.44
  4. Step 4: Simplify right side
    324x = 124,248.73
  5. Step 5: Solve for x
    x = 124,248.73/324
  6. Step 6: Final answer
    x = 383.48

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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.