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Finding the Fourth Proportional to 306.48, 422.34 and 232.68

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Solution

The fourth proportional to 306.48, 422.34 and 232.68 is: 320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.48 : 422.34 = 232.68 : x
  2. Step 2: Convert to fraction form
    306.48/422.34 = 232.68/x
  3. Step 3: Cross multiply
    306.48x = 422.34 × 232.68
  4. Step 4: Simplify right side
    306.48x = 98,270.07
  5. Step 5: Solve for x
    x = 98,270.07/306.48
  6. Step 6: Final answer
    x = 320.64

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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.