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Finding the Fourth Proportional to 382.56, 525.76 and 304.80

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Solution

The fourth proportional to 382.56, 525.76 and 304.80 is: 418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.56 : 525.76 = 304.80 : x
  2. Step 2: Convert to fraction form
    382.56/525.76 = 304.80/x
  3. Step 3: Cross multiply
    382.56x = 525.76 × 304.80
  4. Step 4: Simplify right side
    382.56x = 160,251.65
  5. Step 5: Solve for x
    x = 160,251.65/382.56
  6. Step 6: Final answer
    x = 418.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.