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Finding the Fourth Proportional to 597.45, 824.85 and 411.27

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Solution

The fourth proportional to 597.45, 824.85 and 411.27 is: 567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.45 : 824.85 = 411.27 : x
  2. Step 2: Convert to fraction form
    597.45/824.85 = 411.27/x
  3. Step 3: Cross multiply
    597.45x = 824.85 × 411.27
  4. Step 4: Simplify right side
    597.45x = 339,236.06
  5. Step 5: Solve for x
    x = 339,236.06/597.45
  6. Step 6: Final answer
    x = 567.81

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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.