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Finding the Fourth Proportional to 596.40, 822.90 and 375.42

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Solution

The fourth proportional to 596.40, 822.90 and 375.42 is: 518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.40 : 822.90 = 375.42 : x
  2. Step 2: Convert to fraction form
    596.40/822.90 = 375.42/x
  3. Step 3: Cross multiply
    596.40x = 822.90 × 375.42
  4. Step 4: Simplify right side
    596.40x = 308,933.12
  5. Step 5: Solve for x
    x = 308,933.12/596.40
  6. Step 6: Final answer
    x = 518.00

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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.