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Finding the Fourth Proportional to 551.77, 827.49 and 397.23

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Solution

The fourth proportional to 551.77, 827.49 and 397.23 is: 595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.77 : 827.49 = 397.23 : x
  2. Step 2: Convert to fraction form
    551.77/827.49 = 397.23/x
  3. Step 3: Cross multiply
    551.77x = 827.49 × 397.23
  4. Step 4: Simplify right side
    551.77x = 328,703.85
  5. Step 5: Solve for x
    x = 328,703.85/551.77
  6. Step 6: Final answer
    x = 595.73

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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.