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Finding the Fourth Proportional to 527.55, 727.48 and 361.77

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Solution

The fourth proportional to 527.55, 727.48 and 361.77 is: 498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.55 : 727.48 = 361.77 : x
  2. Step 2: Convert to fraction form
    527.55/727.48 = 361.77/x
  3. Step 3: Cross multiply
    527.55x = 727.48 × 361.77
  4. Step 4: Simplify right side
    527.55x = 263,180.44
  5. Step 5: Solve for x
    x = 263,180.44/527.55
  6. Step 6: Final answer
    x = 498.87

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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.