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Finding the Fourth Proportional to 592.27, 817.10 and 405.44

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Solution

The fourth proportional to 592.27, 817.10 and 405.44 is: 559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.27 : 817.10 = 405.44 : x
  2. Step 2: Convert to fraction form
    592.27/817.10 = 405.44/x
  3. Step 3: Cross multiply
    592.27x = 817.10 × 405.44
  4. Step 4: Simplify right side
    592.27x = 331,280.94
  5. Step 5: Solve for x
    x = 331,280.94/592.27
  6. Step 6: Final answer
    x = 559.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.