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Finding the Fourth Proportional to 527.48, 727.16 and 361.43

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Solution

The fourth proportional to 527.48, 727.16 and 361.43 is: 498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.48 : 727.16 = 361.43 : x
  2. Step 2: Convert to fraction form
    527.48/727.16 = 361.43/x
  3. Step 3: Cross multiply
    527.48x = 727.16 × 361.43
  4. Step 4: Simplify right side
    527.48x = 262,817.44
  5. Step 5: Solve for x
    x = 262,817.44/527.48
  6. Step 6: Final answer
    x = 498.25

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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.