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Finding the Fourth Proportional to 596.09, 822.69 and 334.13

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Solution

The fourth proportional to 596.09, 822.69 and 334.13 is: 461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.09 : 822.69 = 334.13 : x
  2. Step 2: Convert to fraction form
    596.09/822.69 = 334.13/x
  3. Step 3: Cross multiply
    596.09x = 822.69 × 334.13
  4. Step 4: Simplify right side
    596.09x = 274,881.30
  5. Step 5: Solve for x
    x = 274,881.30/596.09
  6. Step 6: Final answer
    x = 461.14

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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.