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Finding the Fourth Proportional to 362.88, 501.08 and 232.11

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Solution

The fourth proportional to 362.88, 501.08 and 232.11 is: 320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.88 : 501.08 = 232.11 : x
  2. Step 2: Convert to fraction form
    362.88/501.08 = 232.11/x
  3. Step 3: Cross multiply
    362.88x = 501.08 × 232.11
  4. Step 4: Simplify right side
    362.88x = 116,304.52
  5. Step 5: Solve for x
    x = 116,304.52/362.88
  6. Step 6: Final answer
    x = 320.50

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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.