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Finding the Fourth Proportional to 527.24, 789.65 and 419.11

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Solution

The fourth proportional to 527.24, 789.65 and 419.11 is: 627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.24 : 789.65 = 419.11 : x
  2. Step 2: Convert to fraction form
    527.24/789.65 = 419.11/x
  3. Step 3: Cross multiply
    527.24x = 789.65 × 419.11
  4. Step 4: Simplify right side
    527.24x = 330,947.71
  5. Step 5: Solve for x
    x = 330,947.71/527.24
  6. Step 6: Final answer
    x = 627.70

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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.