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Finding the Fourth Proportional to 597.52, 823.44 and 431.43

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Solution

The fourth proportional to 597.52, 823.44 and 431.43 is: 594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.52 : 823.44 = 431.43 : x
  2. Step 2: Convert to fraction form
    597.52/823.44 = 431.43/x
  3. Step 3: Cross multiply
    597.52x = 823.44 × 431.43
  4. Step 4: Simplify right side
    597.52x = 355,256.72
  5. Step 5: Solve for x
    x = 355,256.72/597.52
  6. Step 6: Final answer
    x = 594.55

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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.