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Finding the Fourth Proportional to 596.68, 823.54 and 400.04

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Solution

The fourth proportional to 596.68, 823.54 and 400.04 is: 552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.68 : 823.54 = 400.04 : x
  2. Step 2: Convert to fraction form
    596.68/823.54 = 400.04/x
  3. Step 3: Cross multiply
    596.68x = 823.54 × 400.04
  4. Step 4: Simplify right side
    596.68x = 329,448.94
  5. Step 5: Solve for x
    x = 329,448.94/596.68
  6. Step 6: Final answer
    x = 552.14

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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.