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Finding the Fourth Proportional to 596.59, 823.43 and 347.92

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Solution

The fourth proportional to 596.59, 823.43 and 347.92 is: 480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.59 : 823.43 = 347.92 : x
  2. Step 2: Convert to fraction form
    596.59/823.43 = 347.92/x
  3. Step 3: Cross multiply
    596.59x = 823.43 × 347.92
  4. Step 4: Simplify right side
    596.59x = 286,487.77
  5. Step 5: Solve for x
    x = 286,487.77/596.59
  6. Step 6: Final answer
    x = 480.21

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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.