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Finding the Fourth Proportional to 362.04, 499.67 and 214.71

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Solution

The fourth proportional to 362.04, 499.67 and 214.71 is: 296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.04 : 499.67 = 214.71 : x
  2. Step 2: Convert to fraction form
    362.04/499.67 = 214.71/x
  3. Step 3: Cross multiply
    362.04x = 499.67 × 214.71
  4. Step 4: Simplify right side
    362.04x = 107,284.15
  5. Step 5: Solve for x
    x = 107,284.15/362.04
  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.