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Finding the Fourth Proportional to 462.98, 695.09 and 326.09

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Solution

The fourth proportional to 462.98, 695.09 and 326.09 is: 489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.98 : 695.09 = 326.09 : x
  2. Step 2: Convert to fraction form
    462.98/695.09 = 326.09/x
  3. Step 3: Cross multiply
    462.98x = 695.09 × 326.09
  4. Step 4: Simplify right side
    462.98x = 226,662.01
  5. Step 5: Solve for x
    x = 226,662.01/462.98
  6. Step 6: Final answer
    x = 489.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.