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Finding the Fourth Proportional to 362.31, 500.04 and 214.94

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Solution

The fourth proportional to 362.31, 500.04 and 214.94 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.31 : 500.04 = 214.94 : x
  2. Step 2: Convert to fraction form
    362.31/500.04 = 214.94/x
  3. Step 3: Cross multiply
    362.31x = 500.04 × 214.94
  4. Step 4: Simplify right side
    362.31x = 107,476.10
  5. Step 5: Solve for x
    x = 107,476.10/362.31
  6. Step 6: Final answer
    x = 296.64

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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.