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Finding the Fourth Proportional to 527.29, 791.28 and 185.29

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Solution

The fourth proportional to 527.29, 791.28 and 185.29 is: 278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.29 : 791.28 = 185.29 : x
  2. Step 2: Convert to fraction form
    527.29/791.28 = 185.29/x
  3. Step 3: Cross multiply
    527.29x = 791.28 × 185.29
  4. Step 4: Simplify right side
    527.29x = 146,612.31
  5. Step 5: Solve for x
    x = 146,612.31/527.29
  6. Step 6: Final answer
    x = 278.05

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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.