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Finding the Fourth Proportional to 460.59, 690.54 and 216.97

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Solution

The fourth proportional to 460.59, 690.54 and 216.97 is: 325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.59 : 690.54 = 216.97 : x
  2. Step 2: Convert to fraction form
    460.59/690.54 = 216.97/x
  3. Step 3: Cross multiply
    460.59x = 690.54 × 216.97
  4. Step 4: Simplify right side
    460.59x = 149,826.46
  5. Step 5: Solve for x
    x = 149,826.46/460.59
  6. Step 6: Final answer
    x = 325.29

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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.