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Finding the Fourth Proportional to 527.12, 727.41 and 306.06

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Solution

The fourth proportional to 527.12, 727.41 and 306.06 is: 422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.12 : 727.41 = 306.06 : x
  2. Step 2: Convert to fraction form
    527.12/727.41 = 306.06/x
  3. Step 3: Cross multiply
    527.12x = 727.41 × 306.06
  4. Step 4: Simplify right side
    527.12x = 222,631.10
  5. Step 5: Solve for x
    x = 222,631.10/527.12
  6. Step 6: Final answer
    x = 422.35

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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.