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Finding the Fourth Proportional to 551.97, 827.73 and 464.90

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Solution

The fourth proportional to 551.97, 827.73 and 464.90 is: 697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.97 : 827.73 = 464.90 : x
  2. Step 2: Convert to fraction form
    551.97/827.73 = 464.90/x
  3. Step 3: Cross multiply
    551.97x = 827.73 × 464.90
  4. Step 4: Simplify right side
    551.97x = 384,807.54
  5. Step 5: Solve for x
    x = 384,807.54/551.97
  6. Step 6: Final answer
    x = 697.15

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Why These Related Problems?

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