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Finding the Fourth Proportional to 596.18, 822.66 and 375.14

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Solution

The fourth proportional to 596.18, 822.66 and 375.14 is: 517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.18 : 822.66 = 375.14 : x
  2. Step 2: Convert to fraction form
    596.18/822.66 = 375.14/x
  3. Step 3: Cross multiply
    596.18x = 822.66 × 375.14
  4. Step 4: Simplify right side
    596.18x = 308,612.67
  5. Step 5: Solve for x
    x = 308,612.67/596.18
  6. Step 6: Final answer
    x = 517.65

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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.