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Finding the Fourth Proportional to 596.61, 823.37 and 347.94

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Solution

The fourth proportional to 596.61, 823.37 and 347.94 is: 480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.61 : 823.37 = 347.94 : x
  2. Step 2: Convert to fraction form
    596.61/823.37 = 347.94/x
  3. Step 3: Cross multiply
    596.61x = 823.37 × 347.94
  4. Step 4: Simplify right side
    596.61x = 286,481.62
  5. Step 5: Solve for x
    x = 286,481.62/596.61
  6. Step 6: Final answer
    x = 480.18

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Why These Related Problems?

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