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Finding the Fourth Proportional to 596.90, 823.11 and 583.49

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Solution

The fourth proportional to 596.90, 823.11 and 583.49 is: 804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.90 : 823.11 = 583.49 : x
  2. Step 2: Convert to fraction form
    596.90/823.11 = 583.49/x
  3. Step 3: Cross multiply
    596.90x = 823.11 × 583.49
  4. Step 4: Simplify right side
    596.90x = 480,276.45
  5. Step 5: Solve for x
    x = 480,276.45/596.90
  6. Step 6: Final answer
    x = 804.62

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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.