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Finding the Fourth Proportional to 597.90, 824.85 and 431.75

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Solution

The fourth proportional to 597.90, 824.85 and 431.75 is: 595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.90 : 824.85 = 431.75 : x
  2. Step 2: Convert to fraction form
    597.90/824.85 = 431.75/x
  3. Step 3: Cross multiply
    597.90x = 824.85 × 431.75
  4. Step 4: Simplify right side
    597.90x = 356,122.70
  5. Step 5: Solve for x
    x = 356,122.70/597.90
  6. Step 6: Final answer
    x = 595.63

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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.