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Finding the Fourth Proportional to 527.31, 727.79 and 361.87

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Solution

The fourth proportional to 527.31, 727.79 and 361.87 is: 499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.31 : 727.79 = 361.87 : x
  2. Step 2: Convert to fraction form
    527.31/727.79 = 361.87/x
  3. Step 3: Cross multiply
    527.31x = 727.79 × 361.87
  4. Step 4: Simplify right side
    527.31x = 263,361.74
  5. Step 5: Solve for x
    x = 263,361.74/527.31
  6. Step 6: Final answer
    x = 499.44

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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.