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Finding the Fourth Proportional to 460.84, 689.73 and 323.56

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Solution

The fourth proportional to 460.84, 689.73 and 323.56 is: 484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.84 : 689.73 = 323.56 : x
  2. Step 2: Convert to fraction form
    460.84/689.73 = 323.56/x
  3. Step 3: Cross multiply
    460.84x = 689.73 × 323.56
  4. Step 4: Simplify right side
    460.84x = 223,169.04
  5. Step 5: Solve for x
    x = 223,169.04/460.84
  6. Step 6: Final answer
    x = 484.27

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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.