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Finding the Fourth Proportional to 596.92, 824.07 and 400.63

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Solution

The fourth proportional to 596.92, 824.07 and 400.63 is: 553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.92 : 824.07 = 400.63 : x
  2. Step 2: Convert to fraction form
    596.92/824.07 = 400.63/x
  3. Step 3: Cross multiply
    596.92x = 824.07 × 400.63
  4. Step 4: Simplify right side
    596.92x = 330,147.16
  5. Step 5: Solve for x
    x = 330,147.16/596.92
  6. Step 6: Final answer
    x = 553.08

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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.