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Finding the Fourth Proportional to 699.42, 965.48 and 450.75

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Solution

The fourth proportional to 699.42, 965.48 and 450.75 is: 622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.42 : 965.48 = 450.75 : x
  2. Step 2: Convert to fraction form
    699.42/965.48 = 450.75/x
  3. Step 3: Cross multiply
    699.42x = 965.48 × 450.75
  4. Step 4: Simplify right side
    699.42x = 435,187.86
  5. Step 5: Solve for x
    x = 435,187.86/699.42
  6. Step 6: Final answer
    x = 622.21

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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.