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Finding the Fourth Proportional to 527.27, 727.71 and 294.44

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Solution

The fourth proportional to 527.27, 727.71 and 294.44 is: 406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.27 : 727.71 = 294.44 : x
  2. Step 2: Convert to fraction form
    527.27/727.71 = 294.44/x
  3. Step 3: Cross multiply
    527.27x = 727.71 × 294.44
  4. Step 4: Simplify right side
    527.27x = 214,266.93
  5. Step 5: Solve for x
    x = 214,266.93/527.27
  6. Step 6: Final answer
    x = 406.37

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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.