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Finding the Fourth Proportional to 460.23, 690.01 and 216.63

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Solution

The fourth proportional to 460.23, 690.01 and 216.63 is: 324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.23 : 690.01 = 216.63 : x
  2. Step 2: Convert to fraction form
    460.23/690.01 = 216.63/x
  3. Step 3: Cross multiply
    460.23x = 690.01 × 216.63
  4. Step 4: Simplify right side
    460.23x = 149,476.87
  5. Step 5: Solve for x
    x = 149,476.87/460.23
  6. Step 6: Final answer
    x = 324.79

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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.