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Finding the Fourth Proportional to 596.63, 823.01 and 375.41

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Solution

The fourth proportional to 596.63, 823.01 and 375.41 is: 517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.63 : 823.01 = 375.41 : x
  2. Step 2: Convert to fraction form
    596.63/823.01 = 375.41/x
  3. Step 3: Cross multiply
    596.63x = 823.01 × 375.41
  4. Step 4: Simplify right side
    596.63x = 308,966.36
  5. Step 5: Solve for x
    x = 308,966.36/596.63
  6. Step 6: Final answer
    x = 517.85

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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.