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Finding the Fourth Proportional to 461.73, 694.32 and 369.39

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Solution

The fourth proportional to 461.73, 694.32 and 369.39 is: 555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.73 : 694.32 = 369.39 : x
  2. Step 2: Convert to fraction form
    461.73/694.32 = 369.39/x
  3. Step 3: Cross multiply
    461.73x = 694.32 × 369.39
  4. Step 4: Simplify right side
    461.73x = 256,473.02
  5. Step 5: Solve for x
    x = 256,473.02/461.73
  6. Step 6: Final answer
    x = 555.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.