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Finding the Fourth Proportional to 460.05, 690.09 and 276.88

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Solution

The fourth proportional to 460.05, 690.09 and 276.88 is: 415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.05 : 690.09 = 276.88 : x
  2. Step 2: Convert to fraction form
    460.05/690.09 = 276.88/x
  3. Step 3: Cross multiply
    460.05x = 690.09 × 276.88
  4. Step 4: Simplify right side
    460.05x = 191,067.98
  5. Step 5: Solve for x
    x = 191,067.98/460.05
  6. Step 6: Final answer
    x = 415.32

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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.