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Finding the Fourth Proportional to 432.31, 596.94 and 352.56

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Solution

The fourth proportional to 432.31, 596.94 and 352.56 is: 486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.31 : 596.94 = 352.56 : x
  2. Step 2: Convert to fraction form
    432.31/596.94 = 352.56/x
  3. Step 3: Cross multiply
    432.31x = 596.94 × 352.56
  4. Step 4: Simplify right side
    432.31x = 210,455.40
  5. Step 5: Solve for x
    x = 210,455.40/432.31
  6. Step 6: Final answer
    x = 486.82

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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.