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Finding the Fourth Proportional to 527.18, 789.48 and 364.37

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Solution

The fourth proportional to 527.18, 789.48 and 364.37 is: 545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.18 : 789.48 = 364.37 : x
  2. Step 2: Convert to fraction form
    527.18/789.48 = 364.37/x
  3. Step 3: Cross multiply
    527.18x = 789.48 × 364.37
  4. Step 4: Simplify right side
    527.18x = 287,658.88
  5. Step 5: Solve for x
    x = 287,658.88/527.18
  6. Step 6: Final answer
    x = 545.66

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Why These Related Problems?

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