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Finding the Fourth Proportional to 699.37, 965.10 and 450.94

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Solution

The fourth proportional to 699.37, 965.10 and 450.94 is: 622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.37 : 965.10 = 450.94 : x
  2. Step 2: Convert to fraction form
    699.37/965.10 = 450.94/x
  3. Step 3: Cross multiply
    699.37x = 965.10 × 450.94
  4. Step 4: Simplify right side
    699.37x = 435,197.37
  5. Step 5: Solve for x
    x = 435,197.37/699.37
  6. Step 6: Final answer
    x = 622.28

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