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Finding the Fourth Proportional to 596.47, 823.11 and 334.49

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Solution

The fourth proportional to 596.47, 823.11 and 334.49 is: 461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.47 : 823.11 = 334.49 : x
  2. Step 2: Convert to fraction form
    596.47/823.11 = 334.49/x
  3. Step 3: Cross multiply
    596.47x = 823.11 × 334.49
  4. Step 4: Simplify right side
    596.47x = 275,317.95
  5. Step 5: Solve for x
    x = 275,317.95/596.47
  6. Step 6: Final answer
    x = 461.58

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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.