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Finding the Fourth Proportional to 596.24, 822.88 and 375.20

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Solution

The fourth proportional to 596.24, 822.88 and 375.20 is: 517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.24 : 822.88 = 375.20 : x
  2. Step 2: Convert to fraction form
    596.24/822.88 = 375.20/x
  3. Step 3: Cross multiply
    596.24x = 822.88 × 375.20
  4. Step 4: Simplify right side
    596.24x = 308,739.52
  5. Step 5: Solve for x
    x = 308,739.52/596.24
  6. Step 6: Final answer
    x = 517.82

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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.