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Finding the Fourth Proportional to 305.93, 422.13 and 232.13

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Solution

The fourth proportional to 305.93, 422.13 and 232.13 is: 320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.93 : 422.13 = 232.13 : x
  2. Step 2: Convert to fraction form
    305.93/422.13 = 232.13/x
  3. Step 3: Cross multiply
    305.93x = 422.13 × 232.13
  4. Step 4: Simplify right side
    305.93x = 97,989.04
  5. Step 5: Solve for x
    x = 97,989.04/305.93
  6. Step 6: Final answer
    x = 320.30

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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.