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Finding the Fourth Proportional to 597.45, 824.11 and 431.91

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Solution

The fourth proportional to 597.45, 824.11 and 431.91 is: 595.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.45 : 824.11 = 431.91 : x
  2. Step 2: Convert to fraction form
    597.45/824.11 = 431.91/x
  3. Step 3: Cross multiply
    597.45x = 824.11 × 431.91
  4. Step 4: Simplify right side
    597.45x = 355,940.27
  5. Step 5: Solve for x
    x = 355,940.27/597.45
  6. Step 6: Final answer
    x = 595.76

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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.