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Finding the Fourth Proportional to 597.24, 823.94 and 431.09

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Solution

The fourth proportional to 597.24, 823.94 and 431.09 is: 594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 823.94 = 431.09 : x
  2. Step 2: Convert to fraction form
    597.24/823.94 = 431.09/x
  3. Step 3: Cross multiply
    597.24x = 823.94 × 431.09
  4. Step 4: Simplify right side
    597.24x = 355,189.25
  5. Step 5: Solve for x
    x = 355,189.25/597.24
  6. Step 6: Final answer
    x = 594.72

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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.