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Finding the Fourth Proportional to 596.19, 822.51 and 372

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Solution

The fourth proportional to 596.19, 822.51 and 372 is: 513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.19 : 822.51 = 372 : x
  2. Step 2: Convert to fraction form
    596.19/822.51 = 372/x
  3. Step 3: Cross multiply
    596.19x = 822.51 × 372
  4. Step 4: Simplify right side
    596.19x = 305,975.12
  5. Step 5: Solve for x
    x = 305,975.12/596.19
  6. Step 6: Final answer
    x = 513.21

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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.