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Finding the Fourth Proportional to 596.59, 823.17 and 347.83

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Solution

The fourth proportional to 596.59, 823.17 and 347.83 is: 479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.59 : 823.17 = 347.83 : x
  2. Step 2: Convert to fraction form
    596.59/823.17 = 347.83/x
  3. Step 3: Cross multiply
    596.59x = 823.17 × 347.83
  4. Step 4: Simplify right side
    596.59x = 286,323.22
  5. Step 5: Solve for x
    x = 286,323.22/596.59
  6. Step 6: Final answer
    x = 479.93

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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.