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Finding the Fourth Proportional to 460, 689.54 and 216.09

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Solution

The fourth proportional to 460, 689.54 and 216.09 is: 323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 689.54 = 216.09 : x
  2. Step 2: Convert to fraction form
    460/689.54 = 216.09/x
  3. Step 3: Cross multiply
    460x = 689.54 × 216.09
  4. Step 4: Simplify right side
    460x = 149,004.96
  5. Step 5: Solve for x
    x = 149,004.96/460
  6. Step 6: Final answer
    x = 323.92

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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.