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Finding the Fourth Proportional to 527.10, 727.26 and 306.06

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Solution

The fourth proportional to 527.10, 727.26 and 306.06 is: 422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.10 : 727.26 = 306.06 : x
  2. Step 2: Convert to fraction form
    527.10/727.26 = 306.06/x
  3. Step 3: Cross multiply
    527.10x = 727.26 × 306.06
  4. Step 4: Simplify right side
    527.10x = 222,585.20
  5. Step 5: Solve for x
    x = 222,585.20/527.10
  6. Step 6: Final answer
    x = 422.28

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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.