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Finding the Fourth Proportional to 432.43, 645.82 and 345.89

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Solution

The fourth proportional to 432.43, 645.82 and 345.89 is: 516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.43 : 645.82 = 345.89 : x
  2. Step 2: Convert to fraction form
    432.43/645.82 = 345.89/x
  3. Step 3: Cross multiply
    432.43x = 645.82 × 345.89
  4. Step 4: Simplify right side
    432.43x = 223,383.43
  5. Step 5: Solve for x
    x = 223,383.43/432.43
  6. Step 6: Final answer
    x = 516.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.