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Finding the Fourth Proportional to 463.04, 693.85 and 216.09

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Solution

The fourth proportional to 463.04, 693.85 and 216.09 is: 323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.04 : 693.85 = 216.09 : x
  2. Step 2: Convert to fraction form
    463.04/693.85 = 216.09/x
  3. Step 3: Cross multiply
    463.04x = 693.85 × 216.09
  4. Step 4: Simplify right side
    463.04x = 149,934.05
  5. Step 5: Solve for x
    x = 149,934.05/463.04
  6. Step 6: Final answer
    x = 323.80

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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.