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Finding the Fourth Proportional to 362.29, 499.93 and 214.93

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Solution

The fourth proportional to 362.29, 499.93 and 214.93 is: 296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.29 : 499.93 = 214.93 : x
  2. Step 2: Convert to fraction form
    362.29/499.93 = 214.93/x
  3. Step 3: Cross multiply
    362.29x = 499.93 × 214.93
  4. Step 4: Simplify right side
    362.29x = 107,451.74
  5. Step 5: Solve for x
    x = 107,451.74/362.29
  6. Step 6: Final answer
    x = 296.59

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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.