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Finding the Fourth Proportional to 520.67, 780.31 and 276.67

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Solution

The fourth proportional to 520.67, 780.31 and 276.67 is: 414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.67 : 780.31 = 276.67 : x
  2. Step 2: Convert to fraction form
    520.67/780.31 = 276.67/x
  3. Step 3: Cross multiply
    520.67x = 780.31 × 276.67
  4. Step 4: Simplify right side
    520.67x = 215,888.37
  5. Step 5: Solve for x
    x = 215,888.37/520.67
  6. Step 6: Final answer
    x = 414.64

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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.