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Finding the Fourth Proportional to 362.88, 499.57 and 338.38

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Solution

The fourth proportional to 362.88, 499.57 and 338.38 is: 465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.88 : 499.57 = 338.38 : x
  2. Step 2: Convert to fraction form
    362.88/499.57 = 338.38/x
  3. Step 3: Cross multiply
    362.88x = 499.57 × 338.38
  4. Step 4: Simplify right side
    362.88x = 169,042.40
  5. Step 5: Solve for x
    x = 169,042.40/362.88
  6. Step 6: Final answer
    x = 465.84

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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.