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Finding the Fourth Proportional to 362.98, 501.04 and 213.64

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Solution

The fourth proportional to 362.98, 501.04 and 213.64 is: 294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.98 : 501.04 = 213.64 : x
  2. Step 2: Convert to fraction form
    362.98/501.04 = 213.64/x
  3. Step 3: Cross multiply
    362.98x = 501.04 × 213.64
  4. Step 4: Simplify right side
    362.98x = 107,042.19
  5. Step 5: Solve for x
    x = 107,042.19/362.98
  6. Step 6: Final answer
    x = 294.90

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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.