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Finding the Fourth Proportional to 362.92, 500.70 and 232.15

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Solution

The fourth proportional to 362.92, 500.70 and 232.15 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.92 : 500.70 = 232.15 : x
  2. Step 2: Convert to fraction form
    362.92/500.70 = 232.15/x
  3. Step 3: Cross multiply
    362.92x = 500.70 × 232.15
  4. Step 4: Simplify right side
    362.92x = 116,237.51
  5. Step 5: Solve for x
    x = 116,237.51/362.92
  6. Step 6: Final answer
    x = 320.28

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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.