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Finding the Fourth Proportional to 493.11, 739.50 and 460.75

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Solution

The fourth proportional to 493.11, 739.50 and 460.75 is: 690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.11 : 739.50 = 460.75 : x
  2. Step 2: Convert to fraction form
    493.11/739.50 = 460.75/x
  3. Step 3: Cross multiply
    493.11x = 739.50 × 460.75
  4. Step 4: Simplify right side
    493.11x = 340,724.63
  5. Step 5: Solve for x
    x = 340,724.63/493.11
  6. Step 6: Final answer
    x = 690.97

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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.