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Finding the Fourth Proportional to 464.73, 694.45 and 409.24

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Solution

The fourth proportional to 464.73, 694.45 and 409.24 is: 611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.73 : 694.45 = 409.24 : x
  2. Step 2: Convert to fraction form
    464.73/694.45 = 409.24/x
  3. Step 3: Cross multiply
    464.73x = 694.45 × 409.24
  4. Step 4: Simplify right side
    464.73x = 284,196.72
  5. Step 5: Solve for x
    x = 284,196.72/464.73
  6. Step 6: Final answer
    x = 611.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.