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Finding the Fourth Proportional to 460.25, 689.89 and 216.57

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Solution

The fourth proportional to 460.25, 689.89 and 216.57 is: 324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 689.89 = 216.57 : x
  2. Step 2: Convert to fraction form
    460.25/689.89 = 216.57/x
  3. Step 3: Cross multiply
    460.25x = 689.89 × 216.57
  4. Step 4: Simplify right side
    460.25x = 149,409.48
  5. Step 5: Solve for x
    x = 149,409.48/460.25
  6. Step 6: Final answer
    x = 324.63

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Why These Related Problems?

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