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Finding the Fourth Proportional to 596.70, 822.96 and 375.71

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Solution

The fourth proportional to 596.70, 822.96 and 375.71 is: 518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.70 : 822.96 = 375.71 : x
  2. Step 2: Convert to fraction form
    596.70/822.96 = 375.71/x
  3. Step 3: Cross multiply
    596.70x = 822.96 × 375.71
  4. Step 4: Simplify right side
    596.70x = 309,190.19
  5. Step 5: Solve for x
    x = 309,190.19/596.70
  6. Step 6: Final answer
    x = 518.17

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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.