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Finding the Fourth Proportional to 527.01, 727.38 and 306.09

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Solution

The fourth proportional to 527.01, 727.38 and 306.09 is: 422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.01 : 727.38 = 306.09 : x
  2. Step 2: Convert to fraction form
    527.01/727.38 = 306.09/x
  3. Step 3: Cross multiply
    527.01x = 727.38 × 306.09
  4. Step 4: Simplify right side
    527.01x = 222,643.74
  5. Step 5: Solve for x
    x = 222,643.74/527.01
  6. Step 6: Final answer
    x = 422.47

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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.