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Finding the Fourth Proportional to 675.77, 932.32 and 443.03

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Solution

The fourth proportional to 675.77, 932.32 and 443.03 is: 611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.77 : 932.32 = 443.03 : x
  2. Step 2: Convert to fraction form
    675.77/932.32 = 443.03/x
  3. Step 3: Cross multiply
    675.77x = 932.32 × 443.03
  4. Step 4: Simplify right side
    675.77x = 413,045.73
  5. Step 5: Solve for x
    x = 413,045.73/675.77
  6. Step 6: Final answer
    x = 611.22

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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.