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Finding the Fourth Proportional to 596.14, 822.66 and 375.46

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Solution

The fourth proportional to 596.14, 822.66 and 375.46 is: 518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.14 : 822.66 = 375.46 : x
  2. Step 2: Convert to fraction form
    596.14/822.66 = 375.46/x
  3. Step 3: Cross multiply
    596.14x = 822.66 × 375.46
  4. Step 4: Simplify right side
    596.14x = 308,872.46
  5. Step 5: Solve for x
    x = 308,872.46/596.14
  6. Step 6: Final answer
    x = 518.12

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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.