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Finding the Fourth Proportional to 532.43, 799.82 and 379.34

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Solution

The fourth proportional to 532.43, 799.82 and 379.34 is: 569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.43 : 799.82 = 379.34 : x
  2. Step 2: Convert to fraction form
    532.43/799.82 = 379.34/x
  3. Step 3: Cross multiply
    532.43x = 799.82 × 379.34
  4. Step 4: Simplify right side
    532.43x = 303,405.68
  5. Step 5: Solve for x
    x = 303,405.68/532.43
  6. Step 6: Final answer
    x = 569.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.