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Finding the Fourth Proportional to 699.46, 964.47 and 450.44

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Solution

The fourth proportional to 699.46, 964.47 and 450.44 is: 621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.46 : 964.47 = 450.44 : x
  2. Step 2: Convert to fraction form
    699.46/964.47 = 450.44/x
  3. Step 3: Cross multiply
    699.46x = 964.47 × 450.44
  4. Step 4: Simplify right side
    699.46x = 434,436.35
  5. Step 5: Solve for x
    x = 434,436.35/699.46
  6. Step 6: Final answer
    x = 621.10

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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.