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Finding the Fourth Proportional to 409.72, 564.99 and 276.78

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Solution

The fourth proportional to 409.72, 564.99 and 276.78 is: 381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.72 : 564.99 = 276.78 : x
  2. Step 2: Convert to fraction form
    409.72/564.99 = 276.78/x
  3. Step 3: Cross multiply
    409.72x = 564.99 × 276.78
  4. Step 4: Simplify right side
    409.72x = 156,377.93
  5. Step 5: Solve for x
    x = 156,377.93/409.72
  6. Step 6: Final answer
    x = 381.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.