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Finding the Fourth Proportional to 527.57, 791.38 and 198.47

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Solution

The fourth proportional to 527.57, 791.38 and 198.47 is: 297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.57 : 791.38 = 198.47 : x
  2. Step 2: Convert to fraction form
    527.57/791.38 = 198.47/x
  3. Step 3: Cross multiply
    527.57x = 791.38 × 198.47
  4. Step 4: Simplify right side
    527.57x = 157,068.35
  5. Step 5: Solve for x
    x = 157,068.35/527.57
  6. Step 6: Final answer
    x = 297.72

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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.