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Finding the Fourth Proportional to 362.08, 499.60 and 214.76

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Solution

The fourth proportional to 362.08, 499.60 and 214.76 is: 296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.08 : 499.60 = 214.76 : x
  2. Step 2: Convert to fraction form
    362.08/499.60 = 214.76/x
  3. Step 3: Cross multiply
    362.08x = 499.60 × 214.76
  4. Step 4: Simplify right side
    362.08x = 107,295.61
  5. Step 5: Solve for x
    x = 107,295.61/362.08
  6. Step 6: Final answer
    x = 296.33

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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.