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Finding the Fourth Proportional to 551.99, 827.79 and 397.45

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Solution

The fourth proportional to 551.99, 827.79 and 397.45 is: 596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.99 : 827.79 = 397.45 : x
  2. Step 2: Convert to fraction form
    551.99/827.79 = 397.45/x
  3. Step 3: Cross multiply
    551.99x = 827.79 × 397.45
  4. Step 4: Simplify right side
    551.99x = 329,005.14
  5. Step 5: Solve for x
    x = 329,005.14/551.99
  6. Step 6: Final answer
    x = 596.03

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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.