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Finding the Fourth Proportional to 460.32, 689.10 and 254.37

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Solution

The fourth proportional to 460.32, 689.10 and 254.37 is: 380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.32 : 689.10 = 254.37 : x
  2. Step 2: Convert to fraction form
    460.32/689.10 = 254.37/x
  3. Step 3: Cross multiply
    460.32x = 689.10 × 254.37
  4. Step 4: Simplify right side
    460.32x = 175,286.37
  5. Step 5: Solve for x
    x = 175,286.37/460.32
  6. Step 6: Final answer
    x = 380.79

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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.