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Finding the Fourth Proportional to 432.57, 596.03 and 379.71

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Solution

The fourth proportional to 432.57, 596.03 and 379.71 is: 523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.57 : 596.03 = 379.71 : x
  2. Step 2: Convert to fraction form
    432.57/596.03 = 379.71/x
  3. Step 3: Cross multiply
    432.57x = 596.03 × 379.71
  4. Step 4: Simplify right side
    432.57x = 226,316.65
  5. Step 5: Solve for x
    x = 226,316.65/432.57
  6. Step 6: Final answer
    x = 523.19

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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.