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Finding the Fourth Proportional to 527.36, 791.08 and 202.76

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Solution

The fourth proportional to 527.36, 791.08 and 202.76 is: 304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.36 : 791.08 = 202.76 : x
  2. Step 2: Convert to fraction form
    527.36/791.08 = 202.76/x
  3. Step 3: Cross multiply
    527.36x = 791.08 × 202.76
  4. Step 4: Simplify right side
    527.36x = 160,399.38
  5. Step 5: Solve for x
    x = 160,399.38/527.36
  6. Step 6: Final answer
    x = 304.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.