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Finding the Fourth Proportional to 596.45, 823.01 and 400.02

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Solution

The fourth proportional to 596.45, 823.01 and 400.02 is: 551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.45 : 823.01 = 400.02 : x
  2. Step 2: Convert to fraction form
    596.45/823.01 = 400.02/x
  3. Step 3: Cross multiply
    596.45x = 823.01 × 400.02
  4. Step 4: Simplify right side
    596.45x = 329,218.46
  5. Step 5: Solve for x
    x = 329,218.46/596.45
  6. Step 6: Final answer
    x = 551.97

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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.