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Finding the Fourth Proportional to 596.02, 822.50 and 334.03

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Solution

The fourth proportional to 596.02, 822.50 and 334.03 is: 460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.02 : 822.50 = 334.03 : x
  2. Step 2: Convert to fraction form
    596.02/822.50 = 334.03/x
  3. Step 3: Cross multiply
    596.02x = 822.50 × 334.03
  4. Step 4: Simplify right side
    596.02x = 274,738.00
  5. Step 5: Solve for x
    x = 274,738.00/596.02
  6. Step 6: Final answer
    x = 460.95

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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.