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Finding the Fourth Proportional to 432.63, 596.09 and 397.24

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Solution

The fourth proportional to 432.63, 596.09 and 397.24 is: 547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.63 : 596.09 = 397.24 : x
  2. Step 2: Convert to fraction form
    432.63/596.09 = 397.24/x
  3. Step 3: Cross multiply
    432.63x = 596.09 × 397.24
  4. Step 4: Simplify right side
    432.63x = 236,790.29
  5. Step 5: Solve for x
    x = 236,790.29/432.63
  6. Step 6: Final answer
    x = 547.33

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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.