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Finding the Fourth Proportional to 432.06, 596.31 and 245.55

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Solution

The fourth proportional to 432.06, 596.31 and 245.55 is: 338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.06 : 596.31 = 245.55 : x
  2. Step 2: Convert to fraction form
    432.06/596.31 = 245.55/x
  3. Step 3: Cross multiply
    432.06x = 596.31 × 245.55
  4. Step 4: Simplify right side
    432.06x = 146,423.92
  5. Step 5: Solve for x
    x = 146,423.92/432.06
  6. Step 6: Final answer
    x = 338.90

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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.