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Finding the Fourth Proportional to 596.56, 822.90 and 347.84

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Solution

The fourth proportional to 596.56, 822.90 and 347.84 is: 479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.56 : 822.90 = 347.84 : x
  2. Step 2: Convert to fraction form
    596.56/822.90 = 347.84/x
  3. Step 3: Cross multiply
    596.56x = 822.90 × 347.84
  4. Step 4: Simplify right side
    596.56x = 286,237.54
  5. Step 5: Solve for x
    x = 286,237.54/596.56
  6. Step 6: Final answer
    x = 479.82

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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.