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Finding the Fourth Proportional to 809.46, 1,215.30 and 419.73

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Solution

The fourth proportional to 809.46, 1,215.30 and 419.73 is: 630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.46 : 1,215.30 = 419.73 : x
  2. Step 2: Convert to fraction form
    809.46/1,215.30 = 419.73/x
  3. Step 3: Cross multiply
    809.46x = 1,215.30 × 419.73
  4. Step 4: Simplify right side
    809.46x = 510,097.87
  5. Step 5: Solve for x
    x = 510,097.87/809.46
  6. Step 6: Final answer
    x = 630.17

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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.