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Finding the Fourth Proportional to 596.50, 823.23 and 347.83

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Solution

The fourth proportional to 596.50, 823.23 and 347.83 is: 480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 823.23 = 347.83 : x
  2. Step 2: Convert to fraction form
    596.50/823.23 = 347.83/x
  3. Step 3: Cross multiply
    596.50x = 823.23 × 347.83
  4. Step 4: Simplify right side
    596.50x = 286,342.03
  5. Step 5: Solve for x
    x = 286,342.03/596.50
  6. Step 6: Final answer
    x = 480.04

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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.