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Finding the Fourth Proportional to 527.03, 727.13 and 305.97

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Solution

The fourth proportional to 527.03, 727.13 and 305.97 is: 422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.03 : 727.13 = 305.97 : x
  2. Step 2: Convert to fraction form
    527.03/727.13 = 305.97/x
  3. Step 3: Cross multiply
    527.03x = 727.13 × 305.97
  4. Step 4: Simplify right side
    527.03x = 222,478.44
  5. Step 5: Solve for x
    x = 222,478.44/527.03
  6. Step 6: Final answer
    x = 422.14

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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.