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Finding the Fourth Proportional to 596.93, 822.74 and 410.09

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Solution

The fourth proportional to 596.93, 822.74 and 410.09 is: 565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.93 : 822.74 = 410.09 : x
  2. Step 2: Convert to fraction form
    596.93/822.74 = 410.09/x
  3. Step 3: Cross multiply
    596.93x = 822.74 × 410.09
  4. Step 4: Simplify right side
    596.93x = 337,391.28
  5. Step 5: Solve for x
    x = 337,391.28/596.93
  6. Step 6: Final answer
    x = 565.22

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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.