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Finding the Fourth Proportional to 460.77, 690.62 and 298.55

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Solution

The fourth proportional to 460.77, 690.62 and 298.55 is: 447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.77 : 690.62 = 298.55 : x
  2. Step 2: Convert to fraction form
    460.77/690.62 = 298.55/x
  3. Step 3: Cross multiply
    460.77x = 690.62 × 298.55
  4. Step 4: Simplify right side
    460.77x = 206,179.66
  5. Step 5: Solve for x
    x = 206,179.66/460.77
  6. Step 6: Final answer
    x = 447.47

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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.