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Finding the Fourth Proportional to 527.28, 789.84 and 310.80

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Solution

The fourth proportional to 527.28, 789.84 and 310.80 is: 465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.28 : 789.84 = 310.80 : x
  2. Step 2: Convert to fraction form
    527.28/789.84 = 310.80/x
  3. Step 3: Cross multiply
    527.28x = 789.84 × 310.80
  4. Step 4: Simplify right side
    527.28x = 245,482.27
  5. Step 5: Solve for x
    x = 245,482.27/527.28
  6. Step 6: Final answer
    x = 465.56

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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.