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Finding the Fourth Proportional to 526.09, 789.62 and 266.27

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Solution

The fourth proportional to 526.09, 789.62 and 266.27 is: 399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.09 : 789.62 = 266.27 : x
  2. Step 2: Convert to fraction form
    526.09/789.62 = 266.27/x
  3. Step 3: Cross multiply
    526.09x = 789.62 × 266.27
  4. Step 4: Simplify right side
    526.09x = 210,250.79
  5. Step 5: Solve for x
    x = 210,250.79/526.09
  6. Step 6: Final answer
    x = 399.65

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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.