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Finding the Fourth Proportional to 699.90, 965.20 and 460.21

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Solution

The fourth proportional to 699.90, 965.20 and 460.21 is: 634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.90 : 965.20 = 460.21 : x
  2. Step 2: Convert to fraction form
    699.90/965.20 = 460.21/x
  3. Step 3: Cross multiply
    699.90x = 965.20 × 460.21
  4. Step 4: Simplify right side
    699.90x = 444,187.56
  5. Step 5: Solve for x
    x = 444,187.56/699.90
  6. Step 6: Final answer
    x = 634.64

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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.