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Finding the Fourth Proportional to 675.76, 932.97 and 443.02

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Solution

The fourth proportional to 675.76, 932.97 and 443.02 is: 611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.76 : 932.97 = 443.02 : x
  2. Step 2: Convert to fraction form
    675.76/932.97 = 443.02/x
  3. Step 3: Cross multiply
    675.76x = 932.97 × 443.02
  4. Step 4: Simplify right side
    675.76x = 413,324.37
  5. Step 5: Solve for x
    x = 413,324.37/675.76
  6. Step 6: Final answer
    x = 611.64

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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.