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Finding the Fourth Proportional to 305.88, 421.30 and 232.07

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Solution

The fourth proportional to 305.88, 421.30 and 232.07 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.88 : 421.30 = 232.07 : x
  2. Step 2: Convert to fraction form
    305.88/421.30 = 232.07/x
  3. Step 3: Cross multiply
    305.88x = 421.30 × 232.07
  4. Step 4: Simplify right side
    305.88x = 97,769.27
  5. Step 5: Solve for x
    x = 97,769.27/305.88
  6. Step 6: Final answer
    x = 319.64

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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.