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Finding the Fourth Proportional to 597.27, 824.13 and 400.83

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Solution

The fourth proportional to 597.27, 824.13 and 400.83 is: 553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.27 : 824.13 = 400.83 : x
  2. Step 2: Convert to fraction form
    597.27/824.13 = 400.83/x
  3. Step 3: Cross multiply
    597.27x = 824.13 × 400.83
  4. Step 4: Simplify right side
    597.27x = 330,336.03
  5. Step 5: Solve for x
    x = 330,336.03/597.27
  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.