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Finding the Fourth Proportional to 432.45, 596.41 and 365.48

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Solution

The fourth proportional to 432.45, 596.41 and 365.48 is: 504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.45 : 596.41 = 365.48 : x
  2. Step 2: Convert to fraction form
    432.45/596.41 = 365.48/x
  3. Step 3: Cross multiply
    432.45x = 596.41 × 365.48
  4. Step 4: Simplify right side
    432.45x = 217,975.93
  5. Step 5: Solve for x
    x = 217,975.93/432.45
  6. Step 6: Final answer
    x = 504.05

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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.