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Finding the Fourth Proportional to 362.58, 500.07 and 238.35

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Solution

The fourth proportional to 362.58, 500.07 and 238.35 is: 328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.58 : 500.07 = 238.35 : x
  2. Step 2: Convert to fraction form
    362.58/500.07 = 238.35/x
  3. Step 3: Cross multiply
    362.58x = 500.07 × 238.35
  4. Step 4: Simplify right side
    362.58x = 119,191.68
  5. Step 5: Solve for x
    x = 119,191.68/362.58
  6. Step 6: Final answer
    x = 328.73

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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.