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Finding the Fourth Proportional to 432.49, 596.83 and 236.00

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Solution

The fourth proportional to 432.49, 596.83 and 236.00 is: 325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.49 : 596.83 = 236.00 : x
  2. Step 2: Convert to fraction form
    432.49/596.83 = 236.00/x
  3. Step 3: Cross multiply
    432.49x = 596.83 × 236.00
  4. Step 4: Simplify right side
    432.49x = 140,847.72
  5. Step 5: Solve for x
    x = 140,847.72/432.49
  6. Step 6: Final answer
    x = 325.67

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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.