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Finding the Fourth Proportional to 460.55, 690.82 and 216.94

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Solution

The fourth proportional to 460.55, 690.82 and 216.94 is: 325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.55 : 690.82 = 216.94 : x
  2. Step 2: Convert to fraction form
    460.55/690.82 = 216.94/x
  3. Step 3: Cross multiply
    460.55x = 690.82 × 216.94
  4. Step 4: Simplify right side
    460.55x = 149,865.95
  5. Step 5: Solve for x
    x = 149,865.95/460.55
  6. Step 6: Final answer
    x = 325.41

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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.