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Finding the Fourth Proportional to 809.96, 1,215.04 and 377.24

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Solution

The fourth proportional to 809.96, 1,215.04 and 377.24 is: 565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.96 : 1,215.04 = 377.24 : x
  2. Step 2: Convert to fraction form
    809.96/1,215.04 = 377.24/x
  3. Step 3: Cross multiply
    809.96x = 1,215.04 × 377.24
  4. Step 4: Simplify right side
    809.96x = 458,361.69
  5. Step 5: Solve for x
    x = 458,361.69/809.96
  6. Step 6: Final answer
    x = 565.91

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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.