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Finding the Fourth Proportional to 362.45, 546.96 and 350.24

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Solution

The fourth proportional to 362.45, 546.96 and 350.24 is: 528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.45 : 546.96 = 350.24 : x
  2. Step 2: Convert to fraction form
    362.45/546.96 = 350.24/x
  3. Step 3: Cross multiply
    362.45x = 546.96 × 350.24
  4. Step 4: Simplify right side
    362.45x = 191,564.54
  5. Step 5: Solve for x
    x = 191,564.54/362.45
  6. Step 6: Final answer
    x = 528.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.