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Finding the Fourth Proportional to 527.54, 728.28 and 361.88

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Solution

The fourth proportional to 527.54, 728.28 and 361.88 is: 499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.54 : 728.28 = 361.88 : x
  2. Step 2: Convert to fraction form
    527.54/728.28 = 361.88/x
  3. Step 3: Cross multiply
    527.54x = 728.28 × 361.88
  4. Step 4: Simplify right side
    527.54x = 263,549.97
  5. Step 5: Solve for x
    x = 263,549.97/527.54
  6. Step 6: Final answer
    x = 499.58

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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.