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Finding the Fourth Proportional to 432.39, 596.93 and 423.48

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Solution

The fourth proportional to 432.39, 596.93 and 423.48 is: 584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.39 : 596.93 = 423.48 : x
  2. Step 2: Convert to fraction form
    432.39/596.93 = 423.48/x
  3. Step 3: Cross multiply
    432.39x = 596.93 × 423.48
  4. Step 4: Simplify right side
    432.39x = 252,785.80
  5. Step 5: Solve for x
    x = 252,785.80/432.39
  6. Step 6: Final answer
    x = 584.62

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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.