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Finding the Fourth Proportional to 362.10, 499.77 and 214.73

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Solution

The fourth proportional to 362.10, 499.77 and 214.73 is: 296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.10 : 499.77 = 214.73 : x
  2. Step 2: Convert to fraction form
    362.10/499.77 = 214.73/x
  3. Step 3: Cross multiply
    362.10x = 499.77 × 214.73
  4. Step 4: Simplify right side
    362.10x = 107,313.11
  5. Step 5: Solve for x
    x = 107,313.11/362.10
  6. Step 6: Final answer
    x = 296.36

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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.