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Finding the Fourth Proportional to 596.18, 822.74 and 347.56

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Solution

The fourth proportional to 596.18, 822.74 and 347.56 is: 479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.18 : 822.74 = 347.56 : x
  2. Step 2: Convert to fraction form
    596.18/822.74 = 347.56/x
  3. Step 3: Cross multiply
    596.18x = 822.74 × 347.56
  4. Step 4: Simplify right side
    596.18x = 285,951.51
  5. Step 5: Solve for x
    x = 285,951.51/596.18
  6. Step 6: Final answer
    x = 479.64

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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.