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Finding the Fourth Proportional to 527.24, 789.78 and 296.12

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Solution

The fourth proportional to 527.24, 789.78 and 296.12 is: 443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.24 : 789.78 = 296.12 : x
  2. Step 2: Convert to fraction form
    527.24/789.78 = 296.12/x
  3. Step 3: Cross multiply
    527.24x = 789.78 × 296.12
  4. Step 4: Simplify right side
    527.24x = 233,869.65
  5. Step 5: Solve for x
    x = 233,869.65/527.24
  6. Step 6: Final answer
    x = 443.57

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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.