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Finding the Fourth Proportional to 527.82, 727.84 and 396.60

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Solution

The fourth proportional to 527.82, 727.84 and 396.60 is: 546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.82 : 727.84 = 396.60 : x
  2. Step 2: Convert to fraction form
    527.82/727.84 = 396.60/x
  3. Step 3: Cross multiply
    527.82x = 727.84 × 396.60
  4. Step 4: Simplify right side
    527.82x = 288,661.34
  5. Step 5: Solve for x
    x = 288,661.34/527.82
  6. Step 6: Final answer
    x = 546.89

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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.