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Finding the Fourth Proportional to 527.62, 789.80 and 412.40

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Solution

The fourth proportional to 527.62, 789.80 and 412.40 is: 617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.62 : 789.80 = 412.40 : x
  2. Step 2: Convert to fraction form
    527.62/789.80 = 412.40/x
  3. Step 3: Cross multiply
    527.62x = 789.80 × 412.40
  4. Step 4: Simplify right side
    527.62x = 325,713.52
  5. Step 5: Solve for x
    x = 325,713.52/527.62
  6. Step 6: Final answer
    x = 617.33

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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.