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Finding the Fourth Proportional to 527.27, 789.08 and 364.26

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Solution

The fourth proportional to 527.27, 789.08 and 364.26 is: 545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.27 : 789.08 = 364.26 : x
  2. Step 2: Convert to fraction form
    527.27/789.08 = 364.26/x
  3. Step 3: Cross multiply
    527.27x = 789.08 × 364.26
  4. Step 4: Simplify right side
    527.27x = 287,430.28
  5. Step 5: Solve for x
    x = 287,430.28/527.27
  6. Step 6: Final answer
    x = 545.13

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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.