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Finding the Fourth Proportional to 527.48, 728.12 and 361.66

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Solution

The fourth proportional to 527.48, 728.12 and 361.66 is: 499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.48 : 728.12 = 361.66 : x
  2. Step 2: Convert to fraction form
    527.48/728.12 = 361.66/x
  3. Step 3: Cross multiply
    527.48x = 728.12 × 361.66
  4. Step 4: Simplify right side
    527.48x = 263,331.88
  5. Step 5: Solve for x
    x = 263,331.88/527.48
  6. Step 6: Final answer
    x = 499.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.