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Finding the Fourth Proportional to 559.05, 769.82 and 460.64

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Solution

The fourth proportional to 559.05, 769.82 and 460.64 is: 634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.05 : 769.82 = 460.64 : x
  2. Step 2: Convert to fraction form
    559.05/769.82 = 460.64/x
  3. Step 3: Cross multiply
    559.05x = 769.82 × 460.64
  4. Step 4: Simplify right side
    559.05x = 354,603.73
  5. Step 5: Solve for x
    x = 354,603.73/559.05
  6. Step 6: Final answer
    x = 634.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.