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Finding the Fourth Proportional to 596.54, 823.23 and 400.32

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Solution

The fourth proportional to 596.54, 823.23 and 400.32 is: 552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.54 : 823.23 = 400.32 : x
  2. Step 2: Convert to fraction form
    596.54/823.23 = 400.32/x
  3. Step 3: Cross multiply
    596.54x = 823.23 × 400.32
  4. Step 4: Simplify right side
    596.54x = 329,555.43
  5. Step 5: Solve for x
    x = 329,555.43/596.54
  6. Step 6: Final answer
    x = 552.44

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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.