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Finding the Fourth Proportional to 527.25, 791.25 and 185.25

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Solution

The fourth proportional to 527.25, 791.25 and 185.25 is: 278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.25 : 791.25 = 185.25 : x
  2. Step 2: Convert to fraction form
    527.25/791.25 = 185.25/x
  3. Step 3: Cross multiply
    527.25x = 791.25 × 185.25
  4. Step 4: Simplify right side
    527.25x = 146,579.06
  5. Step 5: Solve for x
    x = 146,579.06/527.25
  6. Step 6: Final answer
    x = 278.01

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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.