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Finding the Fourth Proportional to 596.64, 822.81 and 372.29

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Solution

The fourth proportional to 596.64, 822.81 and 372.29 is: 513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.64 : 822.81 = 372.29 : x
  2. Step 2: Convert to fraction form
    596.64/822.81 = 372.29/x
  3. Step 3: Cross multiply
    596.64x = 822.81 × 372.29
  4. Step 4: Simplify right side
    596.64x = 306,319.82
  5. Step 5: Solve for x
    x = 306,319.82/596.64
  6. Step 6: Final answer
    x = 513.41

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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.