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Finding the Fourth Proportional to 596.58, 823.29 and 334.59

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Solution

The fourth proportional to 596.58, 823.29 and 334.59 is: 461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.58 : 823.29 = 334.59 : x
  2. Step 2: Convert to fraction form
    596.58/823.29 = 334.59/x
  3. Step 3: Cross multiply
    596.58x = 823.29 × 334.59
  4. Step 4: Simplify right side
    596.58x = 275,464.60
  5. Step 5: Solve for x
    x = 275,464.60/596.58
  6. Step 6: Final answer
    x = 461.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.