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Finding the Fourth Proportional to 527.56, 727.68 and 396.34

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Solution

The fourth proportional to 527.56, 727.68 and 396.34 is: 546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.56 : 727.68 = 396.34 : x
  2. Step 2: Convert to fraction form
    527.56/727.68 = 396.34/x
  3. Step 3: Cross multiply
    527.56x = 727.68 × 396.34
  4. Step 4: Simplify right side
    527.56x = 288,408.69
  5. Step 5: Solve for x
    x = 288,408.69/527.56
  6. Step 6: Final answer
    x = 546.68

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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.