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Finding the Fourth Proportional to 432.15, 596.39 and 245.62

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Solution

The fourth proportional to 432.15, 596.39 and 245.62 is: 338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.15 : 596.39 = 245.62 : x
  2. Step 2: Convert to fraction form
    432.15/596.39 = 245.62/x
  3. Step 3: Cross multiply
    432.15x = 596.39 × 245.62
  4. Step 4: Simplify right side
    432.15x = 146,485.31
  5. Step 5: Solve for x
    x = 146,485.31/432.15
  6. Step 6: Final answer
    x = 338.97

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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.