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Finding the Fourth Proportional to 596.02, 822.59 and 334.12

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Solution

The fourth proportional to 596.02, 822.59 and 334.12 is: 461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.02 : 822.59 = 334.12 : x
  2. Step 2: Convert to fraction form
    596.02/822.59 = 334.12/x
  3. Step 3: Cross multiply
    596.02x = 822.59 × 334.12
  4. Step 4: Simplify right side
    596.02x = 274,843.77
  5. Step 5: Solve for x
    x = 274,843.77/596.02
  6. Step 6: Final answer
    x = 461.13

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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.