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Finding the Fourth Proportional to 597.21, 823.37 and 431.46

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Solution

The fourth proportional to 597.21, 823.37 and 431.46 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.21 : 823.37 = 431.46 : x
  2. Step 2: Convert to fraction form
    597.21/823.37 = 431.46/x
  3. Step 3: Cross multiply
    597.21x = 823.37 × 431.46
  4. Step 4: Simplify right side
    597.21x = 355,249.06
  5. Step 5: Solve for x
    x = 355,249.06/597.21
  6. Step 6: Final answer
    x = 594.85

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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.