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Finding the Fourth Proportional to 596.41, 822.63 and 409.63

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Solution

The fourth proportional to 596.41, 822.63 and 409.63 is: 565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.41 : 822.63 = 409.63 : x
  2. Step 2: Convert to fraction form
    596.41/822.63 = 409.63/x
  3. Step 3: Cross multiply
    596.41x = 822.63 × 409.63
  4. Step 4: Simplify right side
    596.41x = 336,973.93
  5. Step 5: Solve for x
    x = 336,973.93/596.41
  6. Step 6: Final answer
    x = 565.00

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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.