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Finding the Fourth Proportional to 460.11, 689.22 and 382.82

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Solution

The fourth proportional to 460.11, 689.22 and 382.82 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.11 : 689.22 = 382.82 : x
  2. Step 2: Convert to fraction form
    460.11/689.22 = 382.82/x
  3. Step 3: Cross multiply
    460.11x = 689.22 × 382.82
  4. Step 4: Simplify right side
    460.11x = 263,849.14
  5. Step 5: Solve for x
    x = 263,849.14/460.11
  6. Step 6: Final answer
    x = 573.45

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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.