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Finding the Fourth Proportional to 596.12, 822.62 and 334.13

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Solution

The fourth proportional to 596.12, 822.62 and 334.13 is: 461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.12 : 822.62 = 334.13 : x
  2. Step 2: Convert to fraction form
    596.12/822.62 = 334.13/x
  3. Step 3: Cross multiply
    596.12x = 822.62 × 334.13
  4. Step 4: Simplify right side
    596.12x = 274,858.74
  5. Step 5: Solve for x
    x = 274,858.74/596.12
  6. Step 6: Final answer
    x = 461.08

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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.