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Finding the Fourth Proportional to 527.14, 727.44 and 306.08

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Solution

The fourth proportional to 527.14, 727.44 and 306.08 is: 422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.14 : 727.44 = 306.08 : x
  2. Step 2: Convert to fraction form
    527.14/727.44 = 306.08/x
  3. Step 3: Cross multiply
    527.14x = 727.44 × 306.08
  4. Step 4: Simplify right side
    527.14x = 222,656.65
  5. Step 5: Solve for x
    x = 222,656.65/527.14
  6. Step 6: Final answer
    x = 422.39

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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.