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Finding the Fourth Proportional to 432.42, 596.67 and 245.94

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Solution

The fourth proportional to 432.42, 596.67 and 245.94 is: 339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.42 : 596.67 = 245.94 : x
  2. Step 2: Convert to fraction form
    432.42/596.67 = 245.94/x
  3. Step 3: Cross multiply
    432.42x = 596.67 × 245.94
  4. Step 4: Simplify right side
    432.42x = 146,745.02
  5. Step 5: Solve for x
    x = 146,745.02/432.42
  6. Step 6: Final answer
    x = 339.36

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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.