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Finding the Fourth Proportional to 492.58, 679.71 and 326.98

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Solution

The fourth proportional to 492.58, 679.71 and 326.98 is: 451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.58 : 679.71 = 326.98 : x
  2. Step 2: Convert to fraction form
    492.58/679.71 = 326.98/x
  3. Step 3: Cross multiply
    492.58x = 679.71 × 326.98
  4. Step 4: Simplify right side
    492.58x = 222,251.58
  5. Step 5: Solve for x
    x = 222,251.58/492.58
  6. Step 6: Final answer
    x = 451.20

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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.