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Finding the Fourth Proportional to 596.60, 822.47 and 409.79

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Solution

The fourth proportional to 596.60, 822.47 and 409.79 is: 564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.60 : 822.47 = 409.79 : x
  2. Step 2: Convert to fraction form
    596.60/822.47 = 409.79/x
  3. Step 3: Cross multiply
    596.60x = 822.47 × 409.79
  4. Step 4: Simplify right side
    596.60x = 337,033.82
  5. Step 5: Solve for x
    x = 337,033.82/596.60
  6. Step 6: Final answer
    x = 564.93

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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.