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Finding the Fourth Proportional to 460.27, 689.25 and 305.73

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Solution

The fourth proportional to 460.27, 689.25 and 305.73 is: 457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.27 : 689.25 = 305.73 : x
  2. Step 2: Convert to fraction form
    460.27/689.25 = 305.73/x
  3. Step 3: Cross multiply
    460.27x = 689.25 × 305.73
  4. Step 4: Simplify right side
    460.27x = 210,724.40
  5. Step 5: Solve for x
    x = 210,724.40/460.27
  6. Step 6: Final answer
    x = 457.83

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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.