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Finding the Fourth Proportional to 596.46, 823.10 and 334.53

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Solution

The fourth proportional to 596.46, 823.10 and 334.53 is: 461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.46 : 823.10 = 334.53 : x
  2. Step 2: Convert to fraction form
    596.46/823.10 = 334.53/x
  3. Step 3: Cross multiply
    596.46x = 823.10 × 334.53
  4. Step 4: Simplify right side
    596.46x = 275,351.64
  5. Step 5: Solve for x
    x = 275,351.64/596.46
  6. Step 6: Final answer
    x = 461.64

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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.