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Finding the Fourth Proportional to 527.25, 727.61 and 372.27

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Solution

The fourth proportional to 527.25, 727.61 and 372.27 is: 513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.25 : 727.61 = 372.27 : x
  2. Step 2: Convert to fraction form
    527.25/727.61 = 372.27/x
  3. Step 3: Cross multiply
    527.25x = 727.61 × 372.27
  4. Step 4: Simplify right side
    527.25x = 270,865.51
  5. Step 5: Solve for x
    x = 270,865.51/527.25
  6. Step 6: Final answer
    x = 513.73

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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.