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Finding the Fourth Proportional to 596.84, 823.47 and 344.70

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Solution

The fourth proportional to 596.84, 823.47 and 344.70 is: 475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.84 : 823.47 = 344.70 : x
  2. Step 2: Convert to fraction form
    596.84/823.47 = 344.70/x
  3. Step 3: Cross multiply
    596.84x = 823.47 × 344.70
  4. Step 4: Simplify right side
    596.84x = 283,850.11
  5. Step 5: Solve for x
    x = 283,850.11/596.84
  6. Step 6: Final answer
    x = 475.59

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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.