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Finding the Fourth Proportional to 362.91, 501 and 279.82

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Solution

The fourth proportional to 362.91, 501 and 279.82 is: 386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.91 : 501 = 279.82 : x
  2. Step 2: Convert to fraction form
    362.91/501 = 279.82/x
  3. Step 3: Cross multiply
    362.91x = 501 × 279.82
  4. Step 4: Simplify right side
    362.91x = 140,189.82
  5. Step 5: Solve for x
    x = 140,189.82/362.91
  6. Step 6: Final answer
    x = 386.29

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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.