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Finding the Fourth Proportional to 526.65, 789.30 and 266.73

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Solution

The fourth proportional to 526.65, 789.30 and 266.73 is: 399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.65 : 789.30 = 266.73 : x
  2. Step 2: Convert to fraction form
    526.65/789.30 = 266.73/x
  3. Step 3: Cross multiply
    526.65x = 789.30 × 266.73
  4. Step 4: Simplify right side
    526.65x = 210,529.99
  5. Step 5: Solve for x
    x = 210,529.99/526.65
  6. Step 6: Final answer
    x = 399.75

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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.