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Finding the Fourth Proportional to 596.85, 823.07 and 387

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Solution

The fourth proportional to 596.85, 823.07 and 387 is: 533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.85 : 823.07 = 387 : x
  2. Step 2: Convert to fraction form
    596.85/823.07 = 387/x
  3. Step 3: Cross multiply
    596.85x = 823.07 × 387
  4. Step 4: Simplify right side
    596.85x = 318,528.09
  5. Step 5: Solve for x
    x = 318,528.09/596.85
  6. Step 6: Final answer
    x = 533.68

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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.